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Radiua will be 15 cm ... let the radiua be x thenOA wil also be x .... and ww know that radius is perpendicular to the tangent .... by using pythagorous theorem in triangle TOP we can find radius .. when radius wiill be x then OP will be x+24 ... and solve it by pythagorous theorem.. ......
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Answer:
15 cm
Step-by-step explanation:
OP² = PT²+OT² (pythagoras theorem)
(OA+AP)² = PT²+OT²
(r+24)² = 36²+ r²
r²+24²+48r = 36²+ r²
48r = 36²-24²
48r = 1296-576
48r = 720
r = 15
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