A particular model of walkie-talkie can broadcast in a circular area. The radius of the broadcast area is 10,000 feet. Find the area of this circle to the nearest square foot. Use 3.14 for pi.
A. 314,000,000 ft^2
B. 100,000,000 ft^2
C. 1,256,000,000 ft^2
D. 62,800 ft^2
Remember the area of a circle?
pi * r^2?
If radius is 10000, pi = 3.14, then we have
10000^2*3.14 = 314,000,000 feet^2
three hundred fourteen million feet squared.
answer A.
To find the area of a circle, you can use the formula:
Area = π * radius^2
Given that the radius of the broadcast area is 10,000 feet and using π as 3.14, we can substitute these values into the formula to find the area.
Area = 3.14 * (10,000)^2
Area = 3.14 * 100,000,000
Area = 314,000,000
Therefore, the area of the circle to the nearest square foot is 314,000,000 ft^2.
So, the correct answer is A. 314,000,000 ft^2.
To find the area of a circle, we use the formula A = πr^2, where A represents the area and r represents the radius.
In this case, the radius of the broadcast area is given as 10,000 feet. So we need to substitute this value into the formula:
A = 3.14 * (10,000)^2
Calculating the square of 10,000:
A = 3.14 * 100,000,000
Multiplying 3.14 by 100,000,000:
A = 314,000,000
Therefore, the area of the circle is 314,000,000 square feet. Option A is the correct answer.