Answer to Question #349536 in Geometry for Zaya

Question

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

Answer 1

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

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

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

$\cfrac {πr}{2}= 7.14$

$πr = 7.14*2 = 14.28$

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

Answer: 4,548 km