What is the area of a regular nonagon with a radius of 14 in.? (1 point) Responses 70.9 in.² 70.9 in.² 141.7 in.² 141.7 in.² 566.9 in.² 566.9 in.² 1,211.6 in.²
To find the area of a regular nonagon, you can use the formula:
Area = (9/2) * (radius^2) * sin(360° / 9)
Plugging in the values given:
Area = (9/2) * (14^2) * sin(40°)
Area = (9/2) * 196 * sin(40°)
Area = 882 * sin(40°)
Using a calculator to find the sine of 40 degrees:
Area ≈ 566.9 in.²
Therefore, the area of a regular nonagon with a radius of 14 in. is approximately 566.9 in.².