Question

Find the area of the shaded region. Round the the nearest tenth.

Answer 1

226.4

Explanation:

alr rounded to the nearest tenth

Answer 2

226.084 sq.m.

Explanation:

Radius of circle = 18.6 cm

Area of sector =
`(\theta)/(360^(\circ) )\pi r^2`

Area of sector =
`(123)/(360) * 3.14 * (18.6)^2`

Area of sector =
`371.157 m^2`

Area of triangle =
`(1)/(2) * a * b * Sin x`

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

x =123 °

Substitute the values in the formula

Area of triangle =
`(1)/(2) * 18.6 * 18.6 * Sin 123`

Area of triangle =
`145.073 m^2`

So, Area of shaded region = Area of sector - Area of triangle

=
`371.157 m^2-145.073 m^2`

=
`226.084 m^2`

Hence the area of the shaded region is 226.084 sq.m.