radius of semicircle = 18/2 = 9
area of semicircle = (1/2) pi (81) = about 127 cm^2
area of rectangle = 180 cm^2
so total= 307 cm^2
Question 13 of 21
The drawing is composed of a rectangle and a semicircle. Find the area of the figure to the nearest unit.
A figure is composed of a rectangle and a semi-circle. The top edge of the rectangle measures 10 centimeters. The left edge measures 18 centimeters. The right edge of the rectangle is dashed and is also the diameter of the semi-circle.
Not drawn to scale.
A. 599 cm2
B. 217 cm2
C. 307 cm2
D. 689 cm
3 answers
area = (10 * 18) + [π * (18/2)^2 * 1/2]
I will assume the semicircle is attached to the side of length 18 cm
which would make its radius 9 cm
total area = 1/2 circle + rectangle
= 1/2 (9^2(0)π + 10(18)
= 127.23... + 180
= 307 cm^2 to the nearest unit
which would make its radius 9 cm
total area = 1/2 circle + rectangle
= 1/2 (9^2(0)π + 10(18)
= 127.23... + 180
= 307 cm^2 to the nearest unit
9 answers