O is the centre of the circle and PT is the tangent at T. If PT = 7 cm & PQ = 1 cm find the radius.
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Given :
- O is the centre of the circle and PT is the tangent at T. If PT = 7 cm & PQ = 1 cm
To find :
- It's radius
Solution :
since PT is the tangent and PQB is the secent of the circle
PQ x PB = PT²
1 x PB = 7²
PB = 49 cm
PQ + QB = 49
1 + QB = 49
QB = 49 - 1
QB = 48
radius = ½ x diameter
= ½ x QB
= ½ x 48
= 24 cm
∴ Hence the radius is 24 cm
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