In the given figure, AB is the diameter of a circle and P is a point on AB extended.

A tangent from P touches the circle at Q. If PQ = 4 cm and PA = 8 cm ,

then the radius of the circle is ____ cm.

3.5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
3 cm

$4^{2}$ = 8(8 - 2r)

16 = 8(8 - 2r)

2 = 8 - 2r

2r = 6

r = 3 cm

Suggest Corrections

Similar questions

ABC is an isosceles triangle with AB = AC = 4cm . A circle through B touches side AC at its middle point D and intersects side AB in point P. Find the value of AP

If PC and PD are tangent to the circle from point P and AB is a third tangent at point Q such that AQ = 4 cm and PC = 16 cm, then PA =?

In the given figure PQ is the diameter of a circle with centre O, and is perpendicular to the chord AB. If AB = 8cm and QM = 2cm, find the radius of the circle.