Question

Find area of shaded region ifTheta = 60°Radius (r = 5cm)​

Answer 1

Answer:

≈ 13.1 cm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{60}{360}$

   = π × 5² × $\frac{1}{6}$

   = 25π ÷ 6

   ≈ 13.1 cm² ( to 1 dec. place )

Answer 2

Answer:

area = 13.1 cm²

Step-by-step explanation:

area of sector formulae:

$\frac{theta}{360} \times \pi {r}^{2}$

theta = 60°

radius = 5 cm

π = 22/7

substitute the values into the formulae

$\frac{60}{360} \times \frac{22}{7} \times {5}^{2}$

$\frac{1}{6} \times \frac{22}{7} \times 25$

$\frac{1}{6} \times \frac{25 \times 22}{7}$

$\frac{1}{6} \times \frac{550}{7}$

$\frac{550 \times 1}{6 \times 7}$

$\frac{550}{42}$

$13.1 \: cm {}^{2}$