Question

How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/2 3/8

Answer 1

The total area of the circle is 1

let the fraction of the shaded portion be x

1/2 + 3/8 + x = 1

multiply through by 8

4 + 3 + 8x = 8

7 + 8x = 8

subtract 7 from both sides

8x = 8 -7

8x = 1

Divide both sides by 8

x = 1/8

1/8 of the circle is shaded