Question

A baby monitor picks up signals within a 50 meter radius. How many square meters of coverage does the baby monitor provide?

A) 7850 m^2
B) 7750 m^2
C) 7650 m^2
D) 7550 m^2

Answer 1

The baby monitor provides approximately 7850 square meters of coverage within a 50 meter radius, using the formula for the area of a circle, which is A = πr^2.

Step-by-step explanation:

The baby monitor provides coverage within a 50 meter radius. This means we are dealing with a circle whose area can be found using the formula for the area of a circle, which is A = πr^2, where A is the area and r is the radius of the circle. Plugging in the given radius of 50 meters, we calculate the area as follows:

A = π(50^2)

A = 3.14159 × (2500)

A = 7853.98 m^2

After rounding to the nearest tens, as the options suggest, the area of coverage provided by the baby monitor is approximately 7850 m^2, which corresponds to option A).