Question

Find the area of the sector

Answer 1

289/3
`\pi` m² or 302.6400923... m²

Explanation:

These type of questions are very simple, you just have to know how to approach them properly. I'll give you the general structure using this as an example for your understanding.

The general structure goes like this:

1. Find the area of the entire circle
2. Using the angle, find out how much of the circle is covered by the sector.
3. Multiply answer from Step 2 from the area to figure out the area of the sector.

Area of a circle is
`\pi r^(2)`, so
`\pi`×17² = 289
`\pi` m²

The angle is 120° out of 360°, think of a sector as the percentage of the area of the circle.

120/360 = 1/3

1/3 × 289
`\pi` = 289/3
`\pi` m² or 302.6400923... m²

Answer 2

Find the area of the full circle:

Area = pi x r^2

Area = 3.14 x 17^2

Area = 907.46 square units

A full circle is 360 degrees. The sector is 120degrees.

Multiply the area of the circle by the sector degrees/ full circle degrees

907.46 x 120/360 = 302.486 square units round off as needed.