Question

What is 75% of the area of a circle with a circumference of 10 units? Round the solution to the nearest square unit.

Answer 1

Answer:

75% of the area of the circle is 6 square units.

Step-by-step explanation:

Given:

Circumference of a circle = 10 units

Now we have to find the radius of the circle, then we have to find the area of the circle.

Circumference of a circle = 2*π*r            [π = 3.14]

2*3.14*r = 10

6.28r = 10

Dividing both side by 6.28, we get

r = 10/6.28

r = 1.59

Now let's find the area of the circle.

The area of the circle = π*r^2

= 3.14*1.59*1.59

The area of the circle = 7.94, which is 100 %

Now we have to find the 75% of the area of the circle.

75% = 0.75

75% of the area of the circle = 0.75*7.94

= 5.95

To round off to the nearest whole number, we get 6 square units.

Answer 2

Circumference = 2 pi r = 10

r = 10 / 2 pi

75% of the error  = 0.75 * pi *  (10 / 2pi)^2

                           =  5.968 square unts

6 to nearest square unit