Question

Work out the perimeter of this quarter circle. Take Pi to be 3.142 and write down all the digits given by your calculator.

Answer 1

the answer is correct. the answer is 24.997.

Answer 2

Perimeter of the quarter circle will be 24.997 cm.

Explanation:

Picture shown is a sector of a circle having an angle inscribed = 90° at the center

Formula to get the circumference of the sector is,

Circumference of the sector =
`(\theta^\circ)/(360)(2\pi r)`

C =
`(90^\circ)/(360^\circ)(2\pi)(7)`

C =
`(7\pi )/(2)`

C = 10.997 cm

Now perimeter of the figure = Sum of lengths of all sides

P = 2r + C

P = 7 + 7 + 10.997

= 24.997 cm

Therefore, Perimeter of the quarter circle will be 24.997 cm.