The radius of a circle whose area is equal to the sum of of the areas of two circles with radius 8cm and 15cm,
Answers
Answer:
√17
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Step-by-step explanation:
Radius of 1st Circle = 8cm
Area of 1st Circle = πr²1
Radius of 2nd Circle= 6cm
Area of 2nd Circle = πr²2
Area of both circle= πr²1 + πr²2
= π(r²1+r²2)
= 22/7 (8²+6²)
=22/7 (64+36)
=22/7×100 = 2200/7 cm²
Area of bigger Circle =2200/7cm²
πr² = 2200/7
22/7 ×r² = 2200/7
r² = 2200/7
_________
22/7
r² = 2200/7 × 7/22
r²= 100
r = √100
r = 10cm.
Hence, the radius of bigger circle = 10cm.