The formula C=2pi r relates the circumference C of a circle to its radius r. (a)Solve C=2pi r for r (b) If a circle's circumference is 15 inches, what is its radius? leave the symbol pi in your answer.

hexacordoK 2020-11-29 Answered
The formula C=2πr relates the circumference C of a circle to its radius r.
(a)Solve C=2πr for r
(b) If a circle's circumference is 15 inches, what is its radius? leave the symbol π in your answer.
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avortarF
Answered 2020-11-30 Author has 113 answers
1. The given formula is C=2πr where, C is the circumference of a circle. r is radius of a circle. and, π is the constant ratio of circumference to diameter.
Solution a:
C=2πr
Cπ=2πrpi\ (Dividing both sides by pi)
Cπ=2r
C2π=2r2\ (Dividing both sides by 2)
C2π=r
r=C2π\ (Reversing both sides)
2. Solution b: Circumference of circle = 15 inches i,e., C=15 Putting the value of C in 1, we get:
r=C2π
or,r=152π (C=15)
or, r=7.5π
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