Question

the length of the tangent to a circle from a point 17cm from its centre is 8cm. Find the radius of the circle

Answer 1

HELLO FRIEND HERE IS YOUR ANSWER ☺

THE DISTANCE B/W THE TANGENT AND CENTRE OF THE CIRCLE IS 17CM

AND, THE LENGTH OF TANGENT IS 8CM.

LET THE RADIUS OF CIRCLE IS X cm

A.T.Q

USING PYTHAGORAS THEROM

(17)²=(8)²+(X)²

289= 64+(X)²

225=(X)²

X= 15 cm

I HOPE IT HELPS YOU ☺

PLZZZZ MARK IT BRAINLIEIST ANSWER

Answer 2

Dear Student,

◆ Answer -

r = 15 cm

● Explanation -

Let O be origin of circle, P be assumed point and R be point of contact of tangent.

As tangent makes right angle with radius -

OP^2 = OR^2 + PR^2

Here, OP = 17 cm and PR = 8 cm.

17^2 = r^2 + 8^2

289 = r^2 + 64

r^2 = 289 - 64

r^2 = 225

r = 15 cm

Hence, radius of the circle is 15 cm.

Thanks dear. Hope this helps you..