Question

Can somebody help me with this and explain the procedures?

Answer 1

Answer:

Area of sector = 2.355 miles²

Step-by-step explanation:

Formula:

Area of circle = πr²

Where r is the radius

Area of sector = πr²(C/360)

Where C is the angle of sector

It is given that radius of circle is 6 miles

To find the are of circle

Here diameter = 6 miles,

radius r = diameter/2 = 3 miles

Area = πr² = 3.14 * 3² = 28.26 miles²

To find area of sector

Here r = 3 and C = 30°

Area of sector = πr²(C/360) = 28.26*(30/360)

= 2.355 miles²

Answer 2

Answer: 2.35 square miles.

Step-by-step explanation:

To solve this exercise you must apply the formula for calculte the area of a sector in a circle, which is shown below:

$A=r^2\pi(\frac{C}{360})$

Where C is the central angle in degrees and r is the radius.

Therefore, knowing that:

$C=30\°\\r=\frac{6mi}{2}=3mi$

When you substitute values, you obtain the following result:

$A=(3mi)^2\pi(\frac{30\°}{360})$

$A=2.35mi^2$