Question

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

Answer 1

22.08ft^2

Explanation:

A = πr^2(x/360) d = 15

Since r is half of diameter this means that r = 15/2 =7.5

so Lets use the Area of Sector formua

A =3.14(7.5)^2 (45/360)

A =3.14(56.25) (45/360)

A = 176.625 (45/360)

A = 176.625 (0.125)

A = 22.078125

rounded to the nearest 10th would make it 22.08

Answer 2

Area of the slice of pie = 22.09 ft²

Explanation:

Area of the slice of pie = Area of the sector of the circle with the central angle 45°

Area of the sector =
`(\theta)/(360^(\circ))(\pi r^(2) )` [Here, r = radius of the circle]

=
`(45^(\circ))/(360^(\circ))(\pi )((15)/(2))^2`

= 22.09 ft²

Area of the slice of pie = 22.09 ft²