Question

Find area of blue shaded region

Answer 1

`\approx \: 7.33 \: {cm}^(2)`

Explanation:

Area of the blue shaded region

`= ( \theta)/(360 \degree) * \pi r_1^2 - ( \theta)/(360 \degree) * \pi r_2^2 \\ \\ = ( \pi\theta)/(360 \degree) ( r_1^2 - r_2^2) \\ \\ ( r_1 = 4 \: cm, \: \: r_2 = 3\: cm, \: \: \theta = 120 \degree) \\ \\ = ( 3.14 * 120 \degree)/(360 \degree) ( 4^2 - 3^2) \\ \\ = ( 3.14 )/(3) * 7 \\ \\ = (21.98)/(3) \\ \\ = 7.32666667 \\ \\ \approx \: 7.33 \: {cm}^(2)`