Question

If r = 18 cm, what is the area of this sector? Express your answer

to the nearest tenth of a centimeter.
A 424.2 cm?
536.2 cm?
1
508.9 cm
834.1 cm?

Answer 1

466

Explanation:

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Answer 2

Since the radius of this circle is 18 cm, the area of a sector bounded by the arc is: C. 508.9 square cm.

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = π
`r^2` × θ/360

Where:

• r represents the radius of a circle.
• θ represents the central angle.

Note: The measure of an intercepted arc is equal to the central angle of a circle.

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = π
`r^2` × 180/360

Area of sector = 3.14 ×
`18^2` × 1/2

Area of sector = 3.14 × 324 × 1/2

Area of sector = 3.14 × 162

Area of sector = 508.9 square cm.

Missing information:

The question is incomplete and the missing sector is shown in the attached picture.