Consider circle c with angle acb measuring 3pi/4 radians. if minor arc ab measures 9π inches, what is the length of the radius of circle c? if necessary, round your answer to the nearest inch.

step

find the length of the circumference c

we know that

the circumference of a circle represent

so

by proportion

the circumference of a circle is equal to

step

find the radius of the circle

we know that

the circumference is equal to

solve for r

substitute the value of the circumference in the formula

therefore

the answer is

the radius of the circle is equal to

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9