Question

1. ( moverarc{knm}=) 6. ( moverarc{mjl}=) 7. find the area and circumference of the circle. round to the nearest hundredth. area ( =square m^{2}) circumference ( =square m)

Explanation:

Step1: Find the radius

The diameter \(d = 25\) m. The radius \(r=\frac{d}{2}=\frac{25}{2}=12.5\) m.

Step2: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 12.5\) m: \(A=\pi\times(12.5)^{2}=\pi\times156.25\approx3.14159\times156.25 = 490.87\) \(m^{2}\).

Step3: Calculate the circumference

The formula for the circumference of a circle is \(C = \pi d\). Substitute \(d=25\) m: \(C=\pi\times25\approx3.14159\times25=78.54\) m.

Answer:

Area = \(490.87\) \(m^{2}\)
Circumference = \(78.54\) m