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beks73 [17]
3 years ago
5

An arc subtends a central angle measuring

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

The arc is one-third of the circumference.

Step-by-step explanation:

The area of a circumference = 2πr

C = 2πr ... (1)

If an arc subtends a central angle measuring 2π/3 rad,

The length of the arc = rθ

Given θ = 2π/3

Length of the arc L = r(2π)/3

L = 2πr/3... (2)

L = 1/3(2πr)

Since C = 2πr

L = 1/3C

This shows that the arc is one-third of the circumference.

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Answer: Space was alloted for each subject is 8 dm, 8 dm, 12 dm.

Explanation:

Since we have given the length of bulletin board =28 dm

Let the share of three subject areas be 2x,2x,3x

According to question,

2x+2x+3x=28\\7x=28\\x=\frac{28}{7}\\x=4dm

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Now,

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Step 1. Divide both side by 16

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Step 2. Dimplify 200/16 to 25/2

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Step 3. Add 13 to both sides

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Step 8. Simplify 51/12 to 17/4

17/4 = t

Step 9. Switch sides

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