Question

1. find the area of each circle to the nearest hundredth, if needed. \\(\pi = 3.14\\) image of a circle with diameter 50 km \\(\bigcirc\\) \\(a = 1,962.5\\ \text{km}^2\\) \\(\bigcirc\\) \\(a = 2,500\\ \text{km}^2\\) \\(\bigcirc\\) \\(a = 492.98\\ \text{km}^2\\) \\(\bigcirc\\) \\(a = 7,850\\ \text{km}^2\\)

Explanation:

Step1: Calculate the radius

The diameter is 50 km, so radius $r = \frac{50}{2} = 25$ km

Step2: Apply area formula

Use $A = \pi r^2$, substitute $\pi=3.14$, $r=25$
$A = 3.14 \times 25^2 = 3.14 \times 625 = 1962.5$ km²

Answer:

A = 1,962.5 km²