Question

from a point q,the length to a circle is 24cm and the distance of q from the centre is 25cm. the redius of circle is a)7cm b) 12cm c)15cm d)24.5cm

Answer 1

Answer:

(a) 7cm

Step-by-step explanation:

Let O be the centre of the circle.

OQ = 25cm

To find : Radius OP

Since QP is tangent

OP║QP

∴ ∠OPQ = 90°

By using Pythogoras theorem on OPQ

OP² = OQ²  −PQ²

OP²  = 25² − 24²

OP²  = 49cm

OP =  √49

​ OP =7cm

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