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2 years ago

The diagram shows a sector OAPB of a circle, centre O.

Mathematics

1 answer:

Iteru [2.4K]2 years ago

5 0

Answer:

4.44 cm²

Step-by-step explanation:

If the diagram attached below is required to complete the question,

Applying,

Area of the shaded segment(A) = Area of the sector- area of the triangle

A = (πr²∅/360)-(r²sin∅/)2................ Equation 1

Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie

From the question,

Given: r = 5.4 cm, ∅ = 72°

Constant: π = 3.14

Substitute these values into equation 1

A = (3.14×5.4²×72/360)-(5.4²/2×sin72)

A = 18.31-13.87

A = 4.44 cm²

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

I need help <br> 22 points to whoever helps me

Olenka [21]

Answer:

12 3/4 same slope fro both

13 DE = 5, CB = 10

14 see below

Step-by-step explanation:

12. the slopes are the same

D(0, 3) E(4, 6) slope is (change in y)/(change in x)

change in y = 3 to 6 is a change of +3

Change in x = 0 to 4 is a change of +4

slope is 3/4

13 To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)

DE² = 3² + 4²

DE² = 9 + 12

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DE = 5

and

CB² = 6² + 8²

CB² = 36 + 64

CB² = 100

√CB² = √100 = 10

CB = 10

14. since the slopes are the same are DE is 1/2 or CB its is the mid segment. because (taken from mathopenref.com/trianglemidsegment.html)

The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.

The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.

A triangle has three possible midsegments, depending on which pair of sides is initially joined.

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2 years ago

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77julia77 [94]

Answer:

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Step-by-step explanation:

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