Question

HELP MEEEEE PLEASEEE



the question is in the image below:

Answer 1

Since the radius of the circle is 3 and the length of arc LM is 1/3(π), the area shaded above is equal to 7.5π square units.

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

Area of sector = 1/2 ×
`r^2`θ

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.

Central angle = 2π - π/3

Central angle = 5π/3

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

Area of sector = 1/2 ×
`r^2`θ

Area of sector A = 1/2 ×
`3^2` × 5π/3

Area of sector A = 1/2 × 3 × 5π

Area of sector A = 7.5π square units.