Question

1. a circular sign has a diameter of 24 inches. determine the measurements that are closest to the area of the sign in square inches. use 3.14 for π. move the correct answer to each box. not all answers will be used. 37.68 452.16 75.36 1,808.64 113.04 area of sign: in² 5. jackson is painting a company logo on the side of their building. the logo has two circles: a circle with a radius of 10 feet a circle with a radius of 5 feet what is the combined area of the circles on the logo? use 3.14 for π. choose the correct answer from the dropdown to complete the sentence. the combined area of the circles in the logo is select square feet. 235.5 392.5 47.1 157

Explanation:

Question 4

Step1: Find the radius

The diameter is 24 inches, so the radius \( r=\frac{24}{2}=12 \) inches.

Step2: Calculate the area

The formula for the area of a circle is \( A = \pi r^2 \). Using \( \pi = 3.14 \) and \( r = 12 \), we get \( A=3.14\times12^2=3.14\times144 = 452.16 \) square inches.

Step1: Calculate the area of the first circle

For the circle with radius \( r_1 = 10 \) feet, the area \( A_1=\pi r_1^2=3.14\times10^2 = 3.14\times100 = 314 \) square feet.

Step2: Calculate the area of the second circle

For the circle with radius \( r_2 = 5 \) feet, the area \( A_2=\pi r_2^2=3.14\times5^2=3.14\times25 = 78.5 \) square feet.

Step3: Find the combined area

Add the two areas: \( A = A_1+A_2=314 + 78.5=392.5 \) square feet.

Answer:

452.16

Question 5