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aksik [14]
3 years ago
10

A sector with a radius of 12cm has an area of 60pi cm what is the central angle in radians​

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

5/6π.

Step-by-step explanation:

The following data were obtained from the question:

Radius (r) = 12 cm

Area (A) = 60π cm²

Centre angle in radian (∅) =...?

Since we are to look for the centre angle in radian, the area of the sector will be given by:

A = ½r²∅

Inputting the values of the area, A and radius, r, the centre angle, ∅ can be obtained as follow:

A = ½r²∅

60π = ½ × 12² × ∅

60π = ½ × 144 × ∅

60π = 72 × ∅

Divide both side by 72

∅ = 60π/72

∅ = 5/6π

Therefore, the centre angle measured in radian is 5/6π.

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6 0
4 years ago
Hi which fraction is bigger 5/8 or 11/20 and why ?
Leviafan [203]
The best thing to do for this question is to find a common denominator, and the best way to do this is to list all of the multiples and find the smallest common one.
8- 8, 16, 24, 32, 40, 48
20- 20, 40, 60

In this, 40 is the lowest, so you have to multiply 5/8 by 5 at the top and bottom, and this gives you 25/40. You have to multiply the second fraction by 2, and this becomes 22/40.
Therefore, the larger fraction is 5/8.
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3 years ago
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What would you get if you add two plus two
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Answer: 7

Step-by-step explanation:

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3 years ago
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How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
makvit [3.9K]

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

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∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

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Note:

If you find the area of the triangle by the rule 1/2 × base × height

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