The perimeter of a quarter circle is 7.14 kilometers. What is the quarter circle's radius?
Perimeter of a circle=2πrPerimeter ~of ~a~ circle= 2\pi rPerimeter of a circle=2πr
Perimeter of a quarter circle=2πr4=πr2Perimeter ~of ~a~ quarter ~circle= \cfrac{2\pi r}{4}= \cfrac {πr}{2}Perimeter of a quarter circle=42πr=2πr
Perimeter of a quarter circle=7.14Perimeter~of~a~quarter~circle= 7.14Perimeter of a quarter circle=7.14
πr2=7.14\cfrac {πr}{2}= 7.142πr=7.14
πr=7.14∗2=14.28πr = 7.14*2 = 14.28πr=7.14∗2=14.28
r=14.28π=14.283.14=4.548r= \cfrac {14.28}{π}= \cfrac {14.28}{3.14}= 4.548r=π14.28=3.1414.28=4.548
Answer: 4,548 km
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments