A circle of a certain radius has an area which is numerically 5 times the value of the circumference. What is the radius of the circle?

We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is .

We know that circumference of a circle is .

5 times the value of circumference would be .

Now we will equate 5 times circumference with area as:

Let us solve for r.

Therefore, the radius of the circle would be 10 units.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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