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3 years ago

A circle has an 18-inch radius and a shaded sector with a central angle of 50°. Determine the area of the shaded sector.

Mathematics

1 answer:

Makovka662 [10]3 years ago

3 0

Answer:

Area of shaded region is 141.3 square inches

Step-by-step explanation:

It is given that,

A circle has an 18-inch radius and a shaded sector with a central angle of 50°

Area of circle = πr²

To find the area of circle

Area of circle = πr² = 3.14*18² = 3.14 * 18 * 18

Area = 1017.36 square inches

To find the part of shaded region

central angle of shaded region is 50°.

part of sector = 50/360 = 5/36

To find the area of shaded region

area of shaded region is 5/36th of total area of circle

Area of shaded region = 5/36(1017.36) = 141.3 square inches

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The height of a cylinder is 10 and the area of a base is 36 pi square units. What

ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

$v=\pi r^2h$

We have the area of the base, but not the radius

$a=\pi r^2$

We know the area is $36\pi$ , so we can substitute that in for a

$36\pi =\pi r^2$

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

$v=\pi r^2h$

$v=\pi 6^210$

Solve the exponent

$v=\pi 36(10)$

$v=\pi 360$

v=1130.97336

The volume is 1130.97336 units^3

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Lady_Fox [76]

Answer:

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Step-by-step explanation:

If you multiply 5 and 1.6, you get 8.

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