23) First find the radius of the circle.
We know that circumference = 2πr. Make 2πr = 8 and solve for r to find the radius.
2πr = 8
πr = 4
r = 1.273 inches
Now to find the area, use πr².
π1.273² = 5.1 inches²
Area = 5.1 inches², or 1.62π.
24) We need to find the "distance around the window", which means circumference. Circumference of a semicircle is: 1/2(πd)
Plug the diameter in and solve for circumference.
1/2(π26) = 40.82 inches
The answer is A) 40.82 inches
Ari got D as his answer because he found the diameter of a regular circle (not a semicircle) by using πd, then added 26 inches to his answer.
