Answer:
Find the area A of the sector shown in the picture
76 degrees
6
Explanation:
To find the area of a sector, we need to know the measure of the central angle and the radius of the circle.
If the central angle of the sector is 76 degrees, and the radius of the circle is 6, we can use the formula for the area of a sector:
A = (θ/360) * π * r^2
where θ is the central angle in degrees, r is the radius of the circle, and π is a constant approximately equal to 3.14.
Plugging in the given values, we get:
A = (76/360) * π * 6^2
Simplifying:
A = (0.2111) * π * 36
A = 7.57 square units (rounded to two decimal places)
Therefore, the area of the sector is approximately 7.57 square units.