Questions on Geometry: Circles and their properties answered by real tutors!

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Geometry: Circles and their properties

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Question 136913: If someone could help me with this probelm I would be very thankful. I should find the area of a circle with radius 4 (and the answer should be in pi), could someone maybe explain how I should solve the problem?
Click here to see answer by dolly(163)

Question 136912: Could someone help me with "pi" i dont understand it much, if i should find the circumference of a circle with radius 8 and i should write my answer in "pi" then how do i figure out pi"?
Click here to see answer by ptaylor(1578)

Question 136921: Determine whether the given equation represent a circle. If the equation represents the circle then find the radius and center of the circle.

Click here to see answer by dolly(163)

Question 136922: By using Slopes form, show that (3, 1), (6, 3) and (2, 9) are the vertices of a right triangle.
Click here to see answer by dolly(163)

Question 136990: Inside a semicircular tunnel of diameter 20 feet, a vertical support beam is placed 6 feet from the side of the tunnel. How tall is the beam?
I tried using the pythagorean theorem. Since the beam hits the diameter at a 90 degree angle. I use 6^2+x^2=90^2
I did not get any of the choices. I guessed by looking at the picture that the answer is less than the diameter but greater that the distance from the side. I got 9.2 ft.
Click here to see answer by scott8148(3382)

Question 137089: what is the diameter of a circle that has an arc with the measure of 100 degrees and an arc length of 55 pi cm?
Click here to see answer by jedidiah(6)

Question 137089: what is the diameter of a circle that has an arc with the measure of 100 degrees and an arc length of 55 pi cm?
Click here to see answer by rajagopalan(125)

Question 133785: A horse is tied at one corner of a 10m by 20m barn. If the rope is 25m long, find the area of the region in which the horse can graze. Leave your answer in terms of PI.
Area of the a circle is A=r^2Pi
r=25m is the length of the rope or the radius
The corner of the 20m x 10m barn is the center of the circle.
Therefore the each side measurement of the barn will add up to 25m.
20+5=25m 10+15=25m
The area of the barn will be a third of the circle which means the horse can only graze 2/3 of the region.
Notice: A=r^2Pi r=25m

Since the horse can only graze 2/3 of the region, the area formula is:
A=2/3r^2Pi
=2/3 (25)^2Pi
=2/3(625)Pi
=1250/3Pi or
=416.67Pi

Click here to see answer by tns_tutor5000(9)

Question 138626: Find the equation of tangents to
x^2+y^2-6x-2y+9=0
through the origion.
Click here to see answer by stanbon(26284)

Question 138995: two cirlces with a scale factor of 3:2, the larger circle area is 81pi. How do I find out the smaller circle's area?
Click here to see answer by checkley77(7068)

Question 139148: a round target has 3 circles with radii of 2cm, 10cm, & 20cm. what is the probability that a dart randomly thrown hits the target within the outer ring? (outer ring's radii is 20cm)
Click here to see answer by checkley77(7068)

Question 139417: How do I solve for x with the information given?

Click here to see answer by jim_thompson5910(13794)

Question 139573: How do I find the Measure of arc BC?

Click here to see answer by Edwin McCravy(2922)

Question 139721: Given the endpoints of a diameter of a circle are S(0,5a) and T(2a,0), what is the radius of the circlr? I think it is (sqrt29/2)a . Can someone PLEASE help me ????
Click here to see answer by Earlsdon(4900)

Question 139720: Show algebraically that the line 3x+2y=-4 passes through the center of the circle given by the equation x^2+y^2-4x+10y+19=0. HELP:)
Click here to see answer by Earlsdon(4900)

Question 139718: What is the equation of a circle with center(1,-3) and tangent to the line x=3?I think the answer is (x-1)+(y+3)=4 BUT I am not confident, can someone please help me :)
Click here to see answer by solver91311(5072)

Question 139715: Conical clown hats with a height of 25cm will be made from circular paper. If the circumference of a clown's head is 60cm, what is the radius of the original circle from which the hat was made? Please help me:)
Click here to see answer by solver91311(5072)

Question 139831: Given P(a,b) and Q( 3a,5b), what is the distance from R(3a,2b) to the midpoint of PQ? I think it is sqrt a^2+16b^2 ??????????????
Click here to see answer by stanbon(26284)

Question 139832: I am not sure how to word this queation but I'll give it a try. I actually have a diagram of a circle with a shaded region but I don't know how to show you that:( The shaded region is
Click here to see answer by stanbon(26284)

Question 139830: What is the radius of the circle 2x^2+2y^2-8x+16y-32=0? I think it is 6???????
Click here to see answer by jim_thompson5910(13794)

Question 139829: A circle whose equation is (x+5)^2+(y+3)^2=36 is stretched by a factor of 1/4. What is the new equation? I think the answer is (x+5)^2+(y+3)^2=9/4. Can someone PLEASE help me??
Click here to see answer by rapaljer(3622)

Question 140533: Let C be the circle (x-1)^2 + (y-2)^2 =144 and P be the point (10,10) is the point in the circle, out of the circle, or on the circle. I am pretty sure the answer is P is outside of the circle, but I what I am kind of looking for is how this problum would be solved.
Click here to see answer by scott8148(3382)

Question 140985: What is the center and the radius of a circle with equation (x+1)^2+(y+3)^2=9/4?
Click here to see answer by stanbon(26284)

Question 141249: What are the coordinates of the centre of x^2+y^2-4x+2y-4=0???
Click here to see answer by scott8148(3382)

Question 141508: circle with equation: X^2 + Y^2 - 6X - 18Y + 45
Tangent touches the circle at point T equation of the tangent is 2Y = X
Show algebraically that T has coordinates (6,3).
Click here to see answer by Edwin McCravy(2922)

Question 142449: if the diameter of a circle is 18, how can i find the lenghth of an arc that measures 100
Click here to see answer by checkley77(7068)

Question 142451: write the equasion of a circle with a diameter having endpoints at
(-2,6) and (8,4)?
Click here to see answer by scott8148(3382)

Question 142614: The radius of a circle defined by x^2+y^2-2x-4y+1=0
Click here to see answer by solver91311(5072)

Question 142703: CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of CD.
Click here to see answer by stanbon(26284)

Question 143335: Find circumference of circle with a radius of 14 in. Use 22/7 for pi.

Click here to see answer by vleith(1977)

Question 143915: The vertices of parallelogram IJKL are I(-2,1), J(2,4), K(2,-1), and L(-2,-4). Which statement is true?

A. The diagonals form four right angles.
B. The diagonals form exactly two congruent angles.
C. Exactly two sides of IJKL are congruent.
D. IJKL is a square.
Click here to see answer by jojo14344(1483)

Question 144089: In the problem, a square with a circumference of 5 is inside of a square. The answer to the problem is 1/4 the area not covered by the circle. What is the answer and how did you get it.
Click here to see answer by nabla(412)

Question 144164This question is from textbook Geometry; for enjoyment and challenge

: Find the equation of a circle with center (2,4) that passes through (1,7). This question is from textbook Geometry; for enjoyment and challenge

Click here to see answer by stanbon(26284)

Question 144165This question is from textbook Geometry; for enjoyment and challenge

: hey! so i dont even really know how to start this, if somebody could help that would be sooooooooooooo great!!!!
The problem says: Describe the locus of points a fixed distance from a given point and equidistant from the sides of an angle.
Thank you times a million!!!!This question is from textbook Geometry; for enjoyment and challenge

Click here to see answer by stanbon(26284)

Question 144277This question is from textbook Survey of Math w/ Apllications
: I need help here, can you help me? Thank you
6. (4 pts) What is the area of a circle with diameter 34mm?
= 3.1416*17*17
Area = 907.92 square mms.This question is from textbook Survey of Math w/ Apllications

Click here to see answer by Alan3354(6089)

Question 143914: The center of circle P is at (8,6) and (13, 6 - sqrt39) is a point on the circle. If circle P is inscribed in square ABCD, what is the area of ABCD?
Click here to see answer by solver91311(5072)

Question 145328: A circle with radius of 1 has a polygon with "n" sides inscribed in it. What is the limit of the area of the polygon?
a. pi
b. 2pi
c. 4pi^2
d. none of the above

I chose a. I was thinking that the area of they polygon cannot exceed the area of the circle which is pir^2 or in this case pi-- is this right?
Click here to see answer by scott8148(3382)

Question 145342: find diffrence between are of circular table with diameter of 8ft and circular table with diameter 10 ft. round answer to nearst hundredth.
Click here to see answer by nerdybill(2446)

Question 145348: In a circle whose diameter is 20 inches, A chord is 6 inches from the center. WHat is the length of the chord?
Click here to see answer by ankor@dixie-net.com(6693)

Question 145659: What is the area of a circle with the circumference 18 pi centimeters??
Click here to see answer by edjones(3298)

Question 145659: What is the area of a circle with the circumference 18 pi centimeters??
Click here to see answer by jim_thompson5910(13794)

Question 145665: Please help me with my homework.
1. A 40 cm pendulum swings through an angle of 15 degrees. Find the length of the arc through with the tip of a pendulum swings to the nearest tenth of the centimeter.
2. Find the distance traveled by the tip of 7 cm min. hand of a clock in 7 and 1/2 min.
Thanks a lot! ! !
Click here to see answer by stanbon(26284)

Question 146007This question is from textbook
: Could i get some help with this, please?
In a study of 100 married women with children, the subjects were asked the major reason for working outside the home. The study resulted in the following data:
Reason Number of Responses
To support self/family 62
For extra money 18
For something different to do 12
Other 8
----------------------------------------------------------------
Total 100

Construct a pie chart for the data and analyze the results. Draw a circle. Cut it into four slices with ratio 62, 18, 12, 8 – Results show most women work because they need the income for family of other purposes.
This question is from textbook

Click here to see answer by nerdybill(2446)

Question 146344: Find the equation of a circle with radius 5 and centered at (3,-1).
a.
b.
c.
d. x^2+y^2+6x-2y+15=0}}
e. nota
i have no idea where to start ... thank you for your help in advance

Click here to see answer by aswathytony(47)

Question 147999: A decorative dinner plate is displayed in a V-shaped rack as shown. The radius of the plate is 7 inches. The measure of angle APC = 50 degrees. The sides of the rack form tangents to the plate.

A decorative dinner plate is displayed in a V-shaped rack as shown. The radius of the plate is 7 inches. The measure of angle APC = 50 degrees. The sides of the rack form tangents to the plate.
a) Find the circumference of the plate.
b)Find the measure of angle PAB. Explain how you found the measure.
c)Find the measure of minor arc AC and major arc ADC. Explain how you found the measure
d)Use the circumference of the circle that you found in part a to find the length of arc AC. Explain your answer.
Click here to see answer by mangopeeler07(450)

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