Question

(32) XY is a tangent of a circle having as a centre
at contact point Y. OY intersects the circle at
point P. If XY = 15cm and PY = 9cm then find
the radius of the circle.​

Answer 1

Answer:

XY is a tangent of a circle having as a centre - 31258551. ... as a centre at contact point Y. OY intersects the circle at point P. If XY = 15cm and PY = 9cm then find

Answer 2

Given :- XY is a tangent of a circle having as a centre O.

OY intersects the circle at point P. If XY = 15cm and PY = 9cm .

To Find :-

• Radius of the circle ?

Solution :-

Let us assume that, radius of the circle is r cm.

we know that,

• A tangent to a circle is perpendicular to the radius through the point of contact .

so,

→ ∠ OXY = 90°

now, in right angled ∆OXY , we have,

→ OX² + XY² = OY²

→ r² + 15² = (9 + r)²

→ r² + 225 = 81 + r² + 18r

→ 18r = 225 - 81

→ 18r = 144

→ r = 8 cm. (Ans.)

Hence, Radius of the circle is 8 cm.

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