Question

Find the area of the sector of circle of radius 5 cm, if the corresponding arc length is 3.5 cm.

Answer 1

Answer:

8.75 cm²

Step-by-step explanation:

Given, radius = 5 cm and length = 3.5 cm.

Area of the sector of circle = (1/2) * length * radius

= (1/2) * 3.5 * 5

= 2.5 * 3.5

= 8.75 cm²

Therefore, Area of the sector of circle = 8.75 cm².

Hope it helps!

Answer 2

length of an arc of a sector =
$\frac{central \: angle}{360} \times 2 \times \pi \times r \\ 3.5 \times 180 \times 7 \div22 \times 5 = central \: angle \: \\ \\ central \: angle \: = 40$
area of sector = central angle / 360 × π × r × r
= 40 / 360 × 22 / 7 ×5 × 5