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2 years ago

Find the area of the sector formed by the 60 degree central angle.

Mathematics

1 answer:

Neko [114]2 years ago

3 0

The area of the sector of the circle is: A. 50/3π in.².

<h3>What is the Area of a Sector of a Circle?</h3>

The area of a sector that is bounded by two radii of a circle is calculated using the formula, ∅/360 × πr², where we have the following parameters:

r = radius of the circle
∅ = central angle formed by the sector.

Thus, we are given the following regarding the sector of the circle:

Central angle (∅) = 60 degrees

Radius (r) = 10 inches.

Plug in the values into ∅/360 × πr²:

Area of sector = 60/360 × π(10²)

Area of sector = 1/6 × π(100)

Area of sector = 100/6 × π

Area of sector = 50/3 × π

Area of sector = 50/3π in.²

Thus, the area of the sector of the circle is: A. 50/3π in.².

Learn more about the area of sector on:

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3 years ago

PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW

Alexus [3.1K]

Answer:

*See below*

Step-by-step explanation:

<u>Identify and Explain Error</u>

The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.

<u>Correct Work/Solution</u>

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$0.50 per mile

Let's start by removing $55 from $150 to see how many dollars is left over for gas.

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Then, divide 95 by 0.5

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<u>Share Strategy</u>

Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.

Note:

Hope this helps :)

Have a great day!

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