Question

Calculate the shaded area! All measurements are in centimeters ​

Answer 1

Answer:

area = 218cm²

Step-by-step explanation:

First we shall consider the triangle

base,b     = 12cm

altitude,h = 16cm

hypotenuse = 20cm [ largest side / side opposite to 90° ]

Area of triangle = $\frac{bh}{2}$

                        = $\frac{12x16}{2}$

                        = $\frac{192}{2}$

                        = 96cm²

The hypotenuse of the triangle (20cm) is the diagonal of the circle.

diagonal,d = 20cm

radius, r     = $\frac{d}{2}$

                 = $\frac{20}{2}$

                 = 10cm

Area of circle = πr²

                     = π x 10²

                     = 3.14 x 100

                     = 314cm²

Here, the the part other than triangle in the circle is shaded.

so, area of shaded part = area of circle - area of triangle

                                    = 314-96

                                    = 218cm²