Use 3.14 for π to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessary.
A circle is shown. A dashed line extends across the circle through a point at the center connecting points on opposite sides of the circle. This dashed line segment is labeled 16.8 meters.
A. 51.12 m2
B. 221.56 m2
C. 448.25 m2
D. 886.23 m2
The radius of the circle is half of the diameter, which is 16.8/2 = 8.4 meters.
Using the formula for the area of a circle (A = πr^2), we can estimate the area as:
A = 3.14 x 8.4^2 = 221.95 m2
Rounding to the nearest hundredth, the answer is B. 221.56 m2.