Question

Help me with my home work

Answer 1

25%

Explanation:

Let the small circle radius = r

the area of 2 small circles

= 2 × πr²

= 2πr²

the radius of big circle = 2r

the area of big circle

= π(2r)²

= 4πr²

the purple area

= 1/2 × (big circle - 2 small circles)

= 1/2 × (4πr² - 2πr²)

= πr²

percentage of purple area

`=(purple\ area)/(big\ circle) * 100\%`

`=(\pi r^2)/(4\pi r^2) * 100\%`

`=25\%`