SOLUTION: My Question A piece of string 25 cm long goes exactly once around the edge of a plate in the form of a quadrant. Calculate the area of the quadrant.

Question 40618: My Question
A piece of string 25 cm long goes exactly once around the edge of a plate in the form of a quadrant. Calculate the area of the quadrant.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
A quadrant (of a circle) has a perimeter of 2r + (1/2)(pi)r
If that equals 25, we can solve for r and then plug that into the formula for the area of it...A = (1/4)(pi)r^2
so we have
2r + (1/2)(pi)r = 25
r = 25 / (2 + (1/2)(pi))
A = (1/4)(pi)r^2
A = (1/4)(pi)(25 / (2 + (1/2)(pi)))^2
you can work out the exact value if needed...
RELATED QUESTIONS
A 25m long string cover the circular plate in form of a quadrant of a circle. find the... (answered by Alan3354)

A 25m long string cover the circular plate in form of a quadrant of a circle. find the... (answered by Alan3354)

A piece of string fits exactly once around the perimeter of a square whose area is 144.... (answered by ankor@dixie-net.com)

If a piece of string is 1m long, how long is it in... (answered by ewatrrr)

A cylinder 126 cm high has a circumference of 24 cm. A string makes exactly 7 complete... (answered by Alan3354)

A window is made up of a single piece of glass in the shape of a semicircle and a... (answered by jorel1380)

a 43 foot long string is cut into 4 pices the first piece of string is twice as long as... (answered by edjones)

Seven hard plastic tubes of radius 2 cm are tied tightly together.If the string is wound... (answered by KMST)

A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and... (answered by ankor@dixie-net.com)