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

Answer:

Perimeter of the quarter circle will be 24.997 cm.

Step-by-step 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 = $\frac{\theta^\circ}{360}(2\pi r)$

C = $\frac{90^\circ}{360^\circ}(2\pi)(7)$

C = $\frac{7\pi }{2}$

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.