Question

An ecologist wishes to mark off a circular sampling region with a radius of 10 meters. What is the area of the circular region?

(a) 100π square meters
(b) 20π square meters
(c) 100 square meters
(d) 20 square meters

Answer 1

The area of the circular region with a radius of 10 meters is found using the formula A = πr², yielding an area of 100π square meters.

Step-by-step explanation:

The question involves finding the area of a circular region with a given radius. To find the area, we use the formula A = πr², where A is the area and r is the radius of the circle. Given that the radius is 10 meters, we substitute this value into the formula to get A = π(10 m)².

Carrying out the calculation, we get A = π(100 m²) or A = 100π m². Therefore, the correct answer to the question is (a) 100π square meters.