Question

1) Find the circumference and Area

2) Find the Perimeter and Area

Thank you so much! ​

Answer 1

See below.

Explanation:

1) We know that the circumference of a circle can be found using the formula
`c=\pi d`, so for this circle the circumference will be
`c=3.14 * 40=125.6 \text{ yards}`. The formula for the area of a circle is
`A=(1)/(4)\pi d^2`, so the area of this circle will be
`A=(1)/(4) * 3.14 * 40^2=1256 \text{ yards}`.

2) First we'll work out the length of the curved side of the shape. That's
`(1)/(2)*\pi d =(1)/(2) * 3.14 * 12=18.84 \text{ mm}`. Then, we'll add the length of the other two straight sides to get
`10.82 * 2 + 18.84=40.48 \text{ mm}`. Next: the area of the semi-circle is
`(1)/(2) * (1)/(4) \pi d^2 = (1)/(8) * 3.14 * 144 = 56.52 \text{ mm}`. Adding this to the areas of the two triangles:
`56.52+2 * (1)/(2)bh=56.52+(√(10.82^2-9^2))*9 \approx 110.57 \text{ to 2 d.p.}`