Question

BRAINLEIST AND 30 POINTS

Answer 1

Answer:

82.43 ft^2

Step-by-step explanation:

First find the area of the circle

A = pi r^2

The diameter is 30 so the radius is 1/2 of the diameter

1/2 (30) =15

A = 3.14 (15)^2 = 706.5 ft^2

42 degrees is part of a circle, which is 360 degrees

The fractional part of the circle is 42/360 = 7/60

Multiply this fraction by the area

7/60 * 706.5 =82.425 ft^2

Rounding to the nearest hundredth

82.43 ft^2

Answer 2

Answer:

B

Step-by-step explanation:

The area of a sector of a circle is given by:

$\displaystyle S = \pi r^2 \cdot \frac{\theta }{360^\circ}$

Where θ is the measure of the central angle, in degrees.

The sector has a central angle of 42° and a diameter of 30 feet.

Thus, its radius is 15 feet.

We can use 3.14 for π.

Then the area of the sector will be:

$\displaystyle \begin{aligned} S &\approx (3.14)(15)^2 \cdot \frac{42^\circ}{360^\circ} \\ &\approx 82.43\text{ ft}^2\end{aligned}$

Hence, our answer is B.