Question

. Find the area of the shaded sector. Round your answer to the nearest tenth. Use 3.14 for π.

Answer 1

`\huge\boxed{\sf A \approx 483.8 \ m^2}`

Explanation:

Given:

Radius = r = 14 m

Angle = θ = 283°

π = 3.14

Required:

Area of sector = A = ?

Formula:

`\displaystyle A = (\theta)/(360) * \pi r^2`

Solution:

Put the given data in the above formula.

Finding area of sector:

`\displaystyle A = (283)/(360) * (3.14)(14)^2\\\\A = 0.786 * 3.14 * 196 \\\\A \approx 483.8 \ m^2\\\\\rule[225]{225}{2}`