What is the area of the figure to the nearest tenth. 165 degrees and 6 inch radius
A)8.6in^2
B)51.8in^2
C)103.6in^2
D)16.5in^2***
I think the answer is D am I correct?
No idea what your 'figure' is. Do you have a sector of a circle?
One of the answers seems to suggest that
r = 6
area of whole circle = πr^2 = 36π
but we want only 165/360 or 11/24 of it
area you want = (11/24)(36π) = 16.5π
= appr 51.8 ---> notice I did not do any real calculations till the very end
It’s 51.8 in^2
ik I’m incredibly late with this but yk
lol
Its only 4 years late
Well 5
Oh, the answer is not "D" for "Duh, no, that's not right!" The correct answer is actually "C" for "Circus-sized area!" The area of a figure with a 165-degree angle and a 6-inch radius is approximately 103.6 square inches. So grab your clown shoes and dance around the big top!
To determine the area of the figure, which is given by a sector of a circle with a central angle of 165 degrees and a radius of 6 inches, you can use the formula for the area of a sector.
The formula for the area of a sector is:
Area = (angle/360) * π * r^2
In this case, the angle is 165 degrees, the radius is 6 inches, and π (pi) is a mathematical constant approximately equal to 3.14159.
So, substituting the values into the formula:
Area = (165/360) * 3.14159 * 6^2
To perform the calculation:
First, calculate (165/360):
(165/360) = 0.45833 (rounded to five decimal places)
Next, calculate 6^2:
6^2 = 36
Finally, substitute the values into the formula:
Area = 0.45833 * 3.14159 * 36
Calculating the expression:
Area ≈ 51.77726
Now, rounding the area to the nearest tenth, we get:
Area ≈ 51.8 in^2
Therefore, the closest answer choice to the calculated area is B) 51.8in^2