Question

question 7 of 40
the cute cupcake company is having a sign made. the sign will be a semicircle on top of a trapezoid
image of a semicircle on top of a trapezoid, with the semicircle having a diameter of 2 m, the trapezoid has a height of 0.75 m and a base of 1 m
which of the following is closest to the total area of the sign?
a. 4.27 m²
b. 2.70 m²
c. 1.57 m²
d. 1.13 m²

Explanation:

Step1: Calculate area of semicircle

Radius $r = \frac{2}{2} = 1$ m. Area: $\frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 1^2 = 1.57$ m²

Step2: Calculate area of trapezoid

Bases: 2 m and 1 m, height 0.75 m. Area: $\frac{(2+1) \times 0.75}{2} = 1.125$ m²

Step3: Total area

Sum: $1.57 + 1.125 = 2.695 \approx 2.70$ m²

Answer:

B. 2.70 m²