Question #349536

The perimeter of a quarter circle is 7.14 kilometers. What is the quarter circle's radius?


1
Expert's answer
2022-06-12T17:13:13-0400

Perimeter of a circle=2πrPerimeter ~of ~a~ circle= 2\pi r


Perimeter of a quarter circle=2πr4=πr2Perimeter ~of ~a~ quarter ~circle= \cfrac{2\pi r}{4}= \cfrac {πr}{2}



Perimeter of a quarter circle=7.14Perimeter~of~a~quarter~circle= 7.14


πr2=7.14\cfrac {πr}{2}= 7.14



πr=7.142=14.28πr = 7.14*2 = 14.28


r=14.28π=14.283.14=4.548r= \cfrac {14.28}{π}= \cfrac {14.28}{3.14}= 4.548



Answer: 4,548 km







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