10m radius. What is the area of the circle? Round your answer to the nearest tenth.

D

Step-by-step explanation:

The area of a circle can be found using:

a=πr^2

We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.

a=π*10^2

Evaluate the exponent

a=π*100

Multiply pi and 100

a=314.159265359

Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.

a=314.2

The area is 314.2 square meters, or choice D

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is