All categories

3 years ago

Find the area of the shaded segment of the circle. Please help

Mathematics

1 answer:

natka813 [3]3 years ago

5 0

Answer:

1.4 m²

Step-by-step explanation:

The area of a sector with central angle θ (in radians) is given by the formula

A = (1/2)r²θ

The area of the triangle with central angle θ is given by the formula

A = (1/2)r²sin(θ)

The area of the shaded segment is the difference of these:

A = (1/2)r²(θ -sin(θ))

Your segment has a central angle of 60° = π/3 radians, so its area is ...

A = (1/2)(4 m)²(π/3 -sin(π/3)) = (8 m²)(π/3 -(√3)/2)

A ≈ 1.4 m²

The area of the shaded segment is about 1.4 m².

You might be interested in

40 POINTS !! 40 POINTS !! PLEASE HELP , DONT SKIP ! NO LINKS OR FILES.

gizmo_the_mogwai [7]

Answer:

2 potatoes

Step-by-step explanation:

10 ×1/5 =2×1=2

Step-by-step explanation:

3 0

3 years ago

Find the measurement parallelogram. I need help please, thank you. I need explanation

blondinia [14]

Answer:

2.) 145°

4.) 50°

Step-by-step explanation:

2.) First find the measure of Angle Y, since they are supplementary;

∠Z + ∠Y = 180

35 + ∠Y = 180

∠Y = 180 - 35

∠Y = 145°

So ∠X would be 145° as well

4.) First find the measure of Angle F, since they are supplementary;

∠C + ∠F = 180

130 + ∠F = 180

∠F = 180 -130

∠F = 50°

So ∠E would be 50°

(I didn't explain it much in detail, since this question is similar to the previous that i answered :)

Hope this helps!

4 0

3 years ago

When you translate, (x-4,y) will move ____

sesenic [268]

Answer:

The point will move to the left 4 place values.

Step-by-step explanation:

When you add or subtract from the x value, you are moving the point parallel to the x-axis, the amount you need to go. If subtracting, you move left, if adding, you move right.

When you add or subtract from the y value, you are moving the point parallel to the y-axis, the amount you need to go. If subtracting, you move down, if adding, you move up.

7 0

3 years ago

Three of these expressions are equal to the volume of the barn shown. Which expression is not?

timurjin [86]

The statement that does not match the others is the one at lower right.

_____

The barn's volume can be decomposed into a rectangular prism and a triangular one. Thus the upper right expression is a true represenation of the barn's volume:

... Volume of triangular prism + Volume of rectangular prism

The volume of a rectangular prism is the product of its dimensions. The dimensions of the rectangular prism portion of the barn's volume are a, b, c, so the volume of that portion is ...

... Volume of rectangular prism = a·b·c

The volume of a triangular prism is the area of the triangular base multiplied by the length of the prism. Here, the triangular base has base dimension b and height (d-c), so its area is ...

... Area of triangular barn end = (1/2)b(d-c)

Since the length of the barn is "a", the volume of the triangular prism is ...

... Volume of triangular prism = (1/2)b(d-c)a = (1/2)·a·b·(d-c)

The total volume is the sum of the volumes of the parts ...

... a·b·c + (1/2)·a·b·(d-c) . . . . . . matches the upper right selection

This can be factored by removing a·b to outside parentheses:

... a·b·((1/2)·(d-c) + c) . . . . . . . . . matches the lower left selection

___

Since the two left selections match the one at upper right, the odd one is the one at lower left.

7 0

3 years ago

Read 2 more answers

Can somebody help me on question 8?

vesna_86 [32]

4x2 is 8
8x24 is 192
Answer is 192

3 0

3 years ago