Demarcus was practicing shooting free throws at his school’s gym.
Image shows half of a basketball court. The court is 47 feet long by 50 feet wide. The free throw area has been painted blue and is made up of a rectangle and a half circle. The rectangular area has a length of 15 feet and a width of 16 feet. The diameter of the circle is 16 feet.
The rectangular area and the half circle are all painted blue. What is the area of the court that is painted blue? Use 3.14 for 𝜋.
Demarcus was practicing shooting free throws at his school’s gym.
Image shows half of a basketball court. The court is 47 feet long by 50 feet wide. The free throw area has been painted blue and is made up of a rectangle and a half circle. The rectangular area has a length of 15 feet and a width of 16 feet. The diameter of the circle is 16 feet.
The rectangular area and the half circle are all painted blue. What is the area of the court that is painted blue? Use 3.14 for 𝜋.
200.96ft2
440.96 ft2
1909.40 ft2
340.48 ft2
To find the area of the court that is painted blue, we need to find the area of the rectangle and the area of the half circle and then add them together.
The area of the rectangle is found by multiplying its length by its width: 15 feet * 16 feet = 240 square feet.
The area of the half circle is found by using the formula for the area of a circle: 0.5 * π * r^2. Since the diameter is given as 16 feet, the radius is half of that, which is 8 feet. Plugging in the values, we get: 0.5 * 3.14 * 8^2 = 0.5 * 3.14 * 64 = 100.48 square feet.
Now we add the two areas together to find the total area painted blue: 240 square feet + 100.48 square feet = 340.48 square feet.
Therefore, the correct answer is 340.48 ft2.