Circles - Theorems and Properties - Problems on Circles
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Q. A tangent to a circle is drawn from a point outside the circle. If the radius of the circle is 3 cm and the distance from the center to the point is 5 cm, what is the length of the tangent?
Q. If a circle has an area of 36π cm², what is the radius of the circle?
Q. If a circle has an area of 36π cm², what is the radius?
Q. In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended at any point on the circumference?
Q. In a circle, if two chords AB and CD intersect at point E, and AE = 3 cm, EB = 4 cm, what is the length of segment CE if DE = 2 cm?
Q. Two circles intersect at points A and B. If the radius of the first circle is 4 cm and the second circle is 6 cm, what is the maximum distance between the centers of the circles?
Q. Two circles intersect at points A and B. If the radius of the first circle is 4 cm and the second is 6 cm, what is the maximum distance between the centers of the circles?
Q. What is the area of a sector of a circle with a radius of 10 cm and a central angle of 90 degrees?
Q. What is the area of a sector of a circle with a radius of 4 cm and a central angle of 60 degrees?
Q. What is the area of a sector of a circle with a radius of 5 cm and a central angle of 120 degrees?
Q. What is the length of an arc of a circle with a radius of 3 cm that subtends an angle of 90 degrees at the center?
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