if the shaded area has has an angle the measures 84%, Find the area of the shaded region if JK = 3 ft (1 point) Responses 12.6 ft2 12.6 ft2 9.9 ft2 9.9 ft2 15.7 ft2 15.7 ft2 6.6 ft2

Answer 1

To find the area of the shaded region, we first need to find the radius of the circle. Since JK is the diameter of the circle, we can divide it by 2 to get the radius:

Radius = 3 ft / 2 = 1.5 ft

Next, we can use the formula for the area of a sector of a circle:

Area = (θ/360) * π * r^2

Where θ is the angle in degrees and r is the radius.

Given that the angle is 84% of 360 degrees, we can find the angle in degrees:

Angle = 84% * 360 degrees = 0.84 * 360 degrees = 302.4 degrees

Now we can calculate the area of the shaded region:

Area = (302.4/360) * π * (1.5)^2
Area = 0.84 * 3.14159 * 2.25
Area ≈ 6.67 ft^2

Therefore, the area of the shaded region is approximately 6.6 ft^2. The closest answer choice is 6.6 ft^2.