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

Tutors Answer Your Questions about Circles (FREE)

Question 1183492: T\----------/R
...\............/.
....\........../..
.....\......../...
......\....../....
.......\..../.....
........\../......
.........\/P......
........./\.......
......../..\......
......./....\.....
....../......\....
...../........\...
..../..........\..
S/----------\Q
Given : P is the midpoint of |TQ and |RS
Prove : Triangle TPS is congruent to Triangle QPS
Statements
1. P is the midpoint of |TQ and |RS
2. |TP is congruent to |QP, |RP is congruent to |SP
3. _____________
4.Triangle TPR is congruent to Triangle QPS
Reasons
1. Given
2. _____________
3. Vertical Angle Theorem
4. _____________

Click here to see answer by greenestamps(13195)

Question 1183491: Visualization : Circle A has 2 Right triangles that share one leg, The Triangles are Triangle ABC and Triangle ACD. The leg they share lie on the midpoint of the circle.
Given : A is the midpoint, ( BC is congruent to ( CD
Prove : | BC is congruent to | CD
( = Curve of the circle
| = Line
Click here to see answer by Theo(13342)

Question 1183494: Visualization : Circle A has 2 Right triangles that share one leg, The Triangles are Triangle ABC and Triangle ACD. The leg they share lie on the midpoint of the circle. Both the triangles are Right Triangles
Given : A is the midpoint, ( BC is congruent to ( CD
Prove : | BC is congruent to | CD
( = Curve of the circle
| = Line
Click here to see answer by ikleyn(52747)

Question 1183546: In the diagram shown in the image, ⊙A is tangent to ⊙C, and BD is tangent to ⊙A. The radius of ⊙A is 7 meters, and the radius of ⊙C is 4 meters. What is the area, to the nearest square centimeter, of △ADB? Here is a link to the image: https://imgur.com/a/WQnYGaB
Click here to see answer by ikleyn(52747)

Question 1184689: Suppose point P is outside a given circle. Is it always possible to draw a line through P that is tangent to the circle? Any help is appreciated. Thank you

Click here to see answer by Edwin McCravy(20054)

Question 1185153: 1.The three straight lines y = x, 2y = 7x , and x + 4y - 60 = 0 form a triangle. Find the equations of the three medians, and calculate the coordinates of their point of intersection.

a. The points D(2, -3), E(-1, 7), F(3, 5) are the mid-points of the sides BC, CA, AB respectively of a triangle. Find the equations of its sides.
b. Prove that the points (1,−1), (-1, 1), (√3,√3) are the vertices of an equilateral triangle. Find the coordinates of the point of intersection of the medians of this triangle.
Click here to see answer by ikleyn(52747)

Question 1185739: SOLVE USING GEOMETRIC CONSTRUCTION.
FIND THE EQUATION OF THE CIRCLE TANGET TO 3X+4Y-15=0 AT P1(1,3) AND PASSING THROUGH P2(6,3) AND P3(O,5)
SOLUTION AND CIRCLE TANGENT

Click here to see answer by Alan3354(69443)

Question 1186122: Find the differential equation representing all circles with center on the line y = x and passing
through the origin. Draw some representation of the family
Click here to see answer by ikleyn(52747)

Question 1186394: Please help me with this problem, I would really appreciate it. In ⊙M, chords QR and ST intersect at U. What is TU if QU = 6, RU = 9, and SU = 7?
Click here to see answer by ikleyn(52747)

Question 1186475: A quadrilateral ABCD is inscribed in a points semi-circle with side AD as its diameter. If point O is the center of the semi-circle, determine the angle DCO if angle CAD is 39 degrees.
Click here to see answer by greenestamps(13195)

Question 1186474: ABCD is a square with side of 10 cm. 3 points Square PQRS is drawn inside the square ABCD such that trapezoids PQBA, QRCB, SRCD and PSDA are equal. If the area of the trapezoid is 16 cm^2, find the height of the trapezium.
Click here to see answer by greenestamps(13195)

Question 1186472: A,B, and C are 3 points on circle. OA is a tangent at A and OBC is a straight line. If BC=32 and OA=30 find the value of OB
Click here to see answer by greenestamps(13195)

Question 1186473: A square is inscribed in a semi circle having a radius of 15m. The base of the
square is on the base diameter of the semi-circle. Find the area of an octagon
inscribed in the square.
Click here to see answer by Edwin McCravy(20054)

Question 1186471: A sector of a circle of radius 4 feet has central angle of 30 degree. A line connecting one of the end points of the arc to the midpoint of the opposite edge is then drawn. Determine the area between the lines, the arc and edge adjacent to the drawn line and arc.
Click here to see answer by robertb(5830)

Question 1186564: What diameter of 4 circles will fit into a 1 in. circle. Need formula to determine Diameter of inner circle given Diameter of outer circle and number of inner circles.
Click here to see answer by ikleyn(52747)

Question 1186559: What is diameter of 3 circles that will fit into a 1 in. circle?
Click here to see answer by ikleyn(52747)

Question 1186559: What is diameter of 3 circles that will fit into a 1 in. circle?
Click here to see answer by Alan3354(69443)

Question 1187083: Find the general equation of a circle with center at (1,4) and radius 5.
Click here to see answer by ikleyn(52747)

Question 1187087: Find the equation of the circle that passes through(-2,1).(4,-3),and(4.7)
Click here to see answer by Alan3354(69443)

Question 1187086: A circle has a whose ends are at(-3,2) and(12,6).Find its equation.
Click here to see answer by Alan3354(69443)

Question 1187085: Find the equation of the circle with center on the point of intersection of the lines
X+y-4-0and 5x+2y+1-0,with radius of 5 units.

Click here to see answer by Alan3354(69443)

Question 1187084: What is the equation of the circle with center at(0.2) and tangent to the line
3x-4y=12

Click here to see answer by Alan3354(69443)

Question 1187084: What is the equation of the circle with center at(0.2) and tangent to the line
3x-4y=12

Click here to see answer by ikleyn(52747)

Question 1187174: The area of a circle is 196pi square yards. Find the diameter.
Click here to see answer by MathLover1(20849)

Question 1187219: The color wheel is a tool that artists use to organize color schemes. if the diameter of the wheel is 10 inches and each of the 12 sections is congruent, find the approximate are covered by the green hues. (There are 3 of the 12 sections covered by the green hues).
Click here to see answer by Theo(13342)

Question 1187220: The area of a circle is 804.2 square centimeters.
The area of a sector of the circle is 268.1 square
centimeters. What is the measure of the central
angle that defines the sector?
Click here to see answer by Theo(13342)

Question 1187448: Use the figure in the image consisting of a circle and 2 congruent chords and the given information to find the angle measure of each arc. Here is a link to the image: https://imgur.com/a/3B06ng0
For this I got, mAB = 132 and mCD = 132. Would this be correct?
Click here to see answer by ikleyn(52747)

Question 1187705: AB and AC are tangent to ⊙P. Find AB.
Here is a link to the image: https://imgur.com/a/SY10apS
Would AB = (11/2), 5.5, or (5 1/2)?
==========================
Click here to see answer by Alan3354(69443)

Question 1187706: Find m ∠A with arc DB = 35°, arc BC = 115°, and ray AB being tangent to the circle as shown in the image.
Here is a link to the image: https://imgur.com/a/0IJjvfr
Would m ∠A = 40° ?
Click here to see answer by greenestamps(13195)

Question 1187806: Use the expressions for the segment lengths to write and solve an equation for x.
Here is a link to the image: https://imgur.com/a/MRaqcPP
Would x = 3/2 ?
Click here to see answer by math_helper(2461)

Question 1188260: an arc of a circle measures 30°. if the radius of the circle is 5 cm, what is the length of the arc?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1188290: A glass of water 12 cm high, with a circumference of 6π cm, is 1/2 full. A metal sphere of radius 3 cm is dropped into the glass (it just fits). What is the increase in the height of the water in the glass, in cm? A) 3.5 B) 4 C) 4.5 D) 5 E) 5.5
Click here to see answer by ikleyn(52747)

Question 1188633: use the 3 different figures below to answer the question that
1) if m < BCD=84°, then m < BAD=____
Click here to see answer by Solver92311(821)

Question 1189315:
Click here to see answer by ikleyn(52747)

Question 1189387: A dart board has diameter of 20 inches and is divided into 12 congruent sectors. Find the area of one sector. Round your answer to the nearest tenth.
Click here to see answer by ikleyn(52747)

Question 1189391: Find the radius of a circle if the length of a 60 degrees arc is 18π.
Click here to see answer by ikleyn(52747)

Question 1189421: Chord AB and CD intersect each other at O inside the circle. AO = 8cm, CO= 12 cm, and DO = 20 cm. If AB is the diameter of the circle, compute the length of arc AC.
Click here to see answer by Edwin McCravy(20054)

Question 1189441: Write the standard form of the equation of the circle with the given characteristics.
Center: (3, -2) ; solution point: (-1, 1)
Click here to see answer by MathLover1(20849)

Question 1189420: Chord AB and CD intersect each other at O inside the circle. AO = 8cm,
CO= 12 cm, and DO = 20 cm. If AB is the diameter of the circle, compute
the area of OCA.
Click here to see answer by Edwin McCravy(20054)

Question 1189442: All seven smaller circles are tangent to each other, and the larger circle is tangent to the six outer smaller circles. The radius of each of the smaller circles is 3 cm. In cm^2, the sum of the areas marked "Aa" is.
A) 8(6(pi) - 4(sqrt(3))
B) 6(4(pi) - (sqrt(3))
C) 8(4(pi) - 5(sqrt(3))
D)9(5(pi) - 6(sqrt(3))
E)7(pi) - (sqrt(3)
Click here to see answer by greenestamps(13195)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085