Section 13.4: Areas of Composite Figures — Practice Questions

1. 1. A semicircle has a radius of 8 cm. What is its area in terms of $\pi$? The area is ___ square cm.

2. 2. Find the area of a semicircle with a diameter of 14 inches. Express your answer in terms of $\pi$. The area is ___ square inches.

3. 3. What is the area of a semicircle with a radius of 2 feet, in terms of $\pi$?

   • A. $\pi$ sq ft
   • B. $2\pi$ sq ft
   • C. $4\pi$ sq ft
   • D. $8\pi$ sq ft

4. 4. The area of a semicircle is $50\pi$ square meters. What is the radius of the semicircle? The radius is ___ meters.

5. 5. If the radius of a semicircle is doubled, by what factor does its area increase?

   • A. 2
   • B. 4
   • C. 8
   • D. $\pi$

6. 6. An L-shaped figure is composed of a 5 unit by 6 unit rectangle and a 3 unit by 2 unit rectangle. What is the total area of the figure in square units? ___

7. 7. A right triangle on a grid has a base of 10 units and a height of 6 units. What is its area in square units? ___

8. 8. What is the primary method for calculating the area of a composite figure?

   • A. Find the perimeter of the figure and square it.
   • B. Break the figure into simpler shapes and add their areas.
   • C. Inscribe the figure in a circle and find the circle's area.
   • D. Multiply the figure's greatest length by its greatest width.

9. 9. A figure consists of a rectangle attached to a semicircle. The rectangle measures 8 units by 5 units, and the semicircle is attached to an 8-unit side. What is the total area? ___

10. 10. A T-shaped figure is made from two rectangles. The top horizontal bar is 10 units by 2 units, and the vertical stem is 3 units by 8 units. What is the total area? ___