Page 2 - 10 Math Worksheet Ch 10-Circles

7. The common point of tangent and the circle is called _________. 1
8. From an external point P, tangents PA and PB are drawn to a circle with centre O. 1
If ∠PAB = 50°, then find ∠AOB.

9. If the tangent at point P to the circle with centre O cuts a line through O at Q such 1
that PQ = 24 cm and OQ = 25 cm. Find the radius of the circle.

10. O is the centre the circle shown below with a radius of 8 cm. The circle cuts the tangent 1

AB through O at B such that AB = 15 cm. Find OB.

11. Find the length of a tangent drawn to a circle with radius 5cm, from a point 13 cm 2
from the center of the circle

12. If the quadrilateral sides touch the circle prove that sum of pair of opposite sides is 2
equal to the sum of other pair.

13. In Fig below, PQ is tangent at point R of the circle with center O. If ∠TRQ = 30°. 3
Find ∠PRS.

14. If from any point on the common chord of two intersecting circles, tangents be 4
drawn to circles, prove that they are equal.

15. If AB, AC, PQ are tangents in Fig. and AB = 5 cm find the perimeter of ∆APQ. 4