Question

Measure of an arc of a sector of a circle is 90 ° and its radius is 7 cm . Find the perimeter of the sector

Answer 1

hey mate!!

the formula for finding length of arc= central angle/ 360 × 2πr
here we can use the value of 22/7 for pi.
now,
substituting values,
90/360×2× 22/7 ×7
1/4 × 2× 22
1/4×44
11 cm
now perimeter of sector= radius ×2 + length of arc.
therefore,
perimeter = 7×2+11
= 14+11
=25 cm