3 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

The answer to x would be 0

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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

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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 $\pi r^2$ .

We know that circumference of a circle is $2\pi r$ .

5 times the value of circumference would be $5(2\pi r)=10\pi r$ .

Now we will equate 5 times circumference with area as:

$\pi r^2 = 10\pi r$

Let us solve for r.

$\pi r\cdot r = 10\pi r$

$\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}$

$r=10$

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

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