MEDIUM
10th CBSE
IMPORTANT
Earn 100

A point P is at a distance of 29 cm from the centre of a circle of radius 20 cm. Find the length of the tangent drawn from P to the circle.

Important Questions on Circles

MEDIUM
10th CBSE
IMPORTANT
A point P is 25 cm away from the center of a circle and the length of tangent drawn from P to the circle is 25 cm. Find the radius of the circle. If the required answer is x cm, then what is the value of x?
MEDIUM
10th CBSE
IMPORTANT
Two concentric circles are of radii 6.5 cm and 2.5 cm. Find the length of the chord of the larger circle which touches the smaller circle.
MEDIUM
10th CBSE
IMPORTANT
In the given figure, a circle inscribed in a triangle ABC, touches the sides AB, BC and AC at points D, E and F Respectively. If AB=12 cm, BC=8 cm and AC=10 cm, find the length of AD, BE and CF.
Question Image
MEDIUM
10th CBSE
IMPORTANT
In the given figure, PA and PB are the tangent segments to a circle with centre O. Show that the points A, O, B and P are concyclic.
Question Image
MEDIUM
10th CBSE
IMPORTANT
In the given figure, the chord AB of the larger of the two concentric circles, with center O, touches the smaller circle at C. Prove that AC=CB.
Question Image
MEDIUM
10th CBSE
IMPORTANT
From an external point P, tangents PA and PB are drawn to a circle with center O. If CD is the tangent to the circle at a point E and PA=14 cm, find the perimeter of ΔPCD.
Question Image
MEDIUM
10th CBSE
IMPORTANT
A circle is inscribed in a ΔABC touching AB, BC and AC at P, Q and R respectively. If AB=10 cm, AR=7cm and CR=5 cm, find the length of BC.
Question Image
MEDIUM
10th CBSE
IMPORTANT

In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB=6 cm, BC=7cm and CD=4 cm. Find AD.

Question Image​​​​​​​