Question

The diagram shows a logo made from 3 circles.

Answer 1

Answer:

% area of the shaded region = 33%

Step-by-step explanation:

Radius of the middle circle = 7 cm

Radius of the inner circle = 4 cm

Area of the middle circle = πr²

                                          = π(7)²

                                          = 49π

   Area of the inner circle = π(4)²

                                           = 16π

Area of the shaded region= 49π - 16π

                                            = 33π

Area of the outermost circle = π(10)²

                                               = 100π

% area of the shaded region = $\frac{\text{Area of the shaded region}}{\text{Area of the inner circle}}\times 100$

                                                = $\frac{33\pi }{100\pi }\times 100$

                                                = 33%

Therefore, area of the shaded region is 33% of the complete logo.