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

Answer:

Area of the slice of pie = 22.09 ft²

Step-by-step explanation:

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

Area of the sector = $\frac{\theta}{360^{\circ}}(\pi r^{2} )$ [Here, r = radius of the circle]

                              = $\frac{45^{\circ}}{360^{\circ}}(\pi )(\frac{15}{2})^2$

                              = 22.09 ft²

Area of the slice of pie = 22.09 ft²

Answer 2

Answer:

22.08ft^2

Step-by-step 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