Question

Dimensions of the rectangle inscribed in the semicircle with radius 8.

a) Length = 16, Width = 8
b) Length = 8, Width = 4
c) Length = 10, Width = 8
d) Length = 12, Width = 6

Answer 1

The length and width of the rectangle inscribed in a semicircle can be found using the properties of right triangles. The length is equal to the diameter of the semicircle and the width is equal to the radius of the semicircle.

Step-by-step explanation:

The length and width of the rectangle inscribed in a semicircle can be found using the properties of right triangles.

Since the radius of the semicircle is 8, the diameter is 16.

The rectangle would have its length equal to the diameter of the semicircle and its width equal to the radius of the semicircle.

Therefore, the correct answer is a) Length = 16, Width = 8.