Question

A point P is 13 cm from the center of the circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle

Answer 1

Answer:

radius = 5

Step-by-step explanation:

Answer 2

✔️ Aɴsᴡᴇʀ ✔️

➥ Radius of the Circle is 5 cm

➡️ Gɪᴠᴇɴ

➥ OP = 13 cm

➥ AP = 12 cm

Tᴏ Fɪɴᴅ

➥ Radius of Circle = ?

⠀⠀⠀⠀⠀⠀

❏ According To The Question,

⠀⠀⠀⠀⠀⠀

We know that,

From any point P, outside the circle centre at O, makes a tangent at P where △OAP is right angled traingle and

∠OAP = 90°, so we can write OP is the hypotenuse of the right angled traingle and radius OA is the other side of the right angled traingle.

using Pythagoras theorem

OP² = AP² + OA²

⟾ 169 = 144 + OA²

⟾ OA² = 169 - 144

⟾ OA² = 25

⟾ OA = √25 = 5

HENCE ,

Radius of the cricle (OA) = 5cm