What is the area of a circle with a diameter of 10 millimeters? estimate the area to the tenths place using 3.14 for pi.
responses
a. 15.7 square mm
b. 79 square mm
c. 314 square mm
d. 78.5 square mm
The correct answer is c. 314 square mm.
The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius. The diameter is twice the radius, so the radius is 10 mm / 2 = 5 mm.
Plugging this value into the formula, we get A = 3.14 * (5^2) = 3.14 * 25 = 78.5 square mm. However, the question asks for an estimate to the tenths place, so we round to the nearest tenth.
Rounding 78.5 to the nearest tenth gives us 78.5 = 78.5 square mm.
So the correct answer is c. 314 square mm.