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

Tutors Answer Your Questions about Circles (FREE)

Question 1146406: Find the equation of the locus of a point which moves so that its distance from the point C (3, 4) is always equal to 5.
Click here to see answer by richwmiller(17219)

Question 1146574: A dart board has a diameter of 40cm and is divided into 20 congruent sectors.What is the area of one of the sector?
Click here to see answer by VFBundy(438)

Question 1147051: The centers of 2 coplanar circles of radii 4 and 11 are 25 apart. Find the length of a segment that is a common internal tangent segment of the 2 circles.
Click here to see answer by greenestamps(13195)

Question 1147238: A thin metal rod 8 ft long is to be bent into a circular hoop. Find the radius of this hoop to the nearest tenth of an inch.
Click here to see answer by josgarithmetic(39613)

Question 1147335: A circle that has its centre in the fourth quadrant touches the y-axis and intersects the x-axis at (3,0) and (9,0). What is the area of the part of the circle in the first quadrant?
Click here to see answer by greenestamps(13195)

Question 1147336: A circle is inscribed inside an equilateral triangle. If the circumference of the circle is 6 cm, then what is the area of the triangle in cm²?
Click here to see answer by Boreal(15235)

Question 1147339: A square piece of cloth of maximum size is cut from a circular piece, and then a circular piece of maximum size is cut from the sqaure piece. If the radius of the original piece of cloth was 72 cm, what is the amount of cloth, in cm² that was wasted?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1147653: A diaper is in the shape of a triangle with sides 24 , 20 , 20 inches. The long side is wrapped around the baby's waist and overlapped 2 inches. The third point is brought up to the center of the overlap and pinned in place. The pin is to go through three thickness of material. What is the area in which the pin may be placed?
Click here to see answer by ikleyn(52750)

Question 1148128: In the diagram to the bottom, AB is the diameter of the large circle. The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle. If AC is 4/5 the length of AB, what fraction of the diagram is shaded?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1148129: In the diagram to the bottom, AB is the diameter of the large circle. The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle. If AC is 4/5 the length of AB, what fraction of the diagram is shaded?
Diagram: https://imgur.com/a/3y6lLDN
Click here to see answer by ikleyn(52750)

Question 1148308: the figure above shows a circle with center c 160° and radius 6 what is the sum of the area of two shaded regions
Click here to see answer by greenestamps(13195)

Question 1148308: the figure above shows a circle with center c 160° and radius 6 what is the sum of the area of two shaded regions
Click here to see answer by ikleyn(52750)

Question 1148361: In the diagram to the bottom, AB is the diameter of the circle, and E is the center. Find the measure of angle D, in degrees.
Diagram: https://imgur.com/a/XX5AxQY
Click here to see answer by josgarithmetic(39613)

Question 1148425: In the diagram to the bottom, AB is the diameter of the circle, and E is the center. Find the measure of angle ADE, in degrees.
Diagram: https://imgur.com/a/XX5AxQY
Click here to see answer by ikleyn(52750)

Question 1148505: In the diagram to the bottom, AB is the diameter of the circle, and E is the center. Find the measure of angle ADE, in degrees.
Diagram: https://ibb.co/gdp27PJ
Maybe it was a problem with the site. It should be visible now. Sry for inconvenience.
Click here to see answer by ikleyn(52750)

Question 1148555: At cathedral window is built in the shape of a semicircle with a diameter of 10ft. If the window is to contain three
Stained glass section of equal size , what is the area of each stained glass?44454
Click here to see answer by josmiceli(19441)

Question 1148556: At cathedral window is built iif PA is 3cm and OA is 4cm find the radius of the circle
Click here to see answer by ikleyn(52750)

Question 1148596: In the diagram below, AB is the diameter of the circle and E is the center. Find the measure of angle ADE.
D should be showing
Diagram: https://ibb.co/6g2761h
Click here to see answer by ikleyn(52750)

Question 1148595: In the diagram below, AB is the diameter of the circle, and E is the center. Find the measure of angle ADE.

Diagram: https://ibb.co/6g2761h
Click here to see answer by ikleyn(52750)

Question 1148594: In the diagram below, AB is the diameter of the circle and E is the center. Find the measure of angle ADE.

Diagram: https://ibb.co/6g2761h
Click here to see answer by ikleyn(52750)

Question 1148865: Two concentric circles are drawn so that the shaded area is equal to the unshaded area. The radius of the outer circle is 12cm. Find the difference in the radii of the two circles
Example of diagram: https://imgur.com/a/KQuBAVB
Click here to see answer by josgarithmetic(39613)

Question 1148867: ABC is an equilateral triangle with sides of length 5cm. AB, AC and BC are arcs of the circles having their centers at C, B, A respectively. Find the total area of the non-shaded region of the diagram, in cm2
Diagram: https://imgur.com/a/MIy1nPL
Click here to see answer by ikleyn(52750)

Question 1148933: Three curtain rods, each with diameter 6 cm, are bound together by a band, as illustrated. Find the length of the band, in cm.
Diagram: https://imgur.com/a/s4QHMXr
Click here to see answer by Boreal(15235)

Question 1148930: An archery target is constructed of five concentric circles such that the area of the inner circle is equal to the area of each of the four rings. If the radius of the outer circle is 9m, find the width of band a, in m.
Diagram: https://imgur.com/a/YRGUBMp
Click here to see answer by greenestamps(13195)

Question 1149205: Find the radius, in cm, of the large circle if the radius of the smaller circle is 5 sqrt3 cm. The angle formed by the two radii at the center is 60 degrees.
Click here to see answer by greenestamps(13195)

Question 1149200: Square ABCD is inscribed in a circle. Find the ratio of the area of the square to the area of the circle.
Example of a Diagram: https://imgur.com/a/0SgrQoX
Click here to see answer by greenestamps(13195)

Question 1149641: A line passes through the center a circle and intersects it at points(2,3) and(8,7).What is the equation of the circle?
Click here to see answer by Alan3354(69443)

Question 1149640: A circle defined by the equation(x-6)^2. +(y-9)^2 is tangent to a line at the point (9,4).What is the equation of the circle?
Click here to see answer by Alan3354(69443)

Question 1149640: A circle defined by the equation(x-6)^2. +(y-9)^2 is tangent to a line at the point (9,4).What is the equation of the circle?
Click here to see answer by josgarithmetic(39613)

Question 1150156: A glass of water 10 cm high, with a circumference of 6π cm, is 1/4 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?
Click here to see answer by ikleyn(52750)

Question 1150457: Chris and Pat exercise together by running opposite directions around a 108m circular track for 45 minutes. Starting together, Chris’ velocity is 5 2/3 meters per second while Pat runs 3 1/3 m/s. How many times do they pass one another in 45 minutes?
Click here to see answer by ikleyn(52750)

Question 1150456: A tractor has a rear wheel with a circumference of x m. The circumference of the front wheel is 6m less. If the front wheel makes 10 more revolutions than the rear wheel every 360m, what is the circumference, in m, of the front wheel?
Click here to see answer by josmiceli(19441)

Question 1150666: A pizza is cut into eight equal pieces, the area of each being 82 cm squared. What was the diameter of the original pizza?
Click here to see answer by Alan3354(69443)

Question 1150673: Which one of these circles has the smallest area?

x² + y² = 12

(x - 2)² + y² = 8

(x + 1)² + (y+3)² = 6

(x + 8)² + (y - 9)² = 3

(The only way to find out is to find the area of each of these answer choices, and then select the SMALLEST area, by using these formulas:)
(x + h)² + (y + k)² = r²
Center = (h, k)
Radius = √(r²) or r
Click here to see answer by Alan3354(69443)

Question 1150416: 17)

A, B, C and D are points on the circumference of a circle with a center O. Chords AB and CD intersect at the point X. If ∠AXD = 94° and ∠CBA = 59°, find ∠DAX.
A) 27°
B) 33°
C) 57°
D) 72°
Click here to see answer by greenestamps(13195)

Question 1150722: The diameter AD of a circle is perpendicular to side BC of the equilateral triangle ABC with D lying on BC. If the length of BC is 4, find the area of the shaded part of the circle that is outside the triangle
Click here to see answer by greenestamps(13195)

Question 1150777: The tangent from a point T touches a circle at R. If the radius of the circle circle is Xcm and T is Ycm. Draw a diagram for this.
Click here to see answer by greenestamps(13195)

Question 1150784: Two circles have the same centre and their radii are x cm and y cm. A tangent to the inner circle at p cuts the outer circle at Q. Draw a diagram for this illustration.
Click here to see answer by ikleyn(52750)

Question 1150782: The tangent from a point T touches a circle at R. If the radius of the circle circle is Xcm and T is Ycm from the centre of the circle. Draw a diagram for this illustration.
Click here to see answer by ikleyn(52750)

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