Help asap short its an MCQ
If the diameter of 3 circles is in the ratio 4: 2: 1. The perimeter of the smallest circle is 8 cm. Then the area of
the shaded region is

216

Step-by-step explanation:

Given the figure.

And the perimeter in the ratio 4: 2: 1.

Perimeter of smallest circle =

To find:

Area of shaded region.

Solution:

To find the area, we need to have radius first.

And radius can be calculated by the given perimeter.

Formula for Perimeter is given as:

Perimeter =

Radius of smallest circle = 4 cm

Ratio of perimeter is equal to the ratio of the radii.

Radius of 2nd smallest circle by the given ratio = 8 cm

Radius of largest circle = 16 cm

Area of a circle is given the formula:

Area of the smallest circle =

Area of the 2nd smallest circle =

Area of the largest circle =

Area of the shaded region = Area of largest circle + 2 Area of 2nd smallest circle + 3 Area of smallest circle - 2 Area of smallest circle - 3 Area of 2nd smallest circle

Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle =

it's d

step-by-step explanation: