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SCORPION-xisa [38]
3 years ago
12

the central angle of a sector is 60 degrees and the area of the circle is 144 pi. What is the area of the sector

Mathematics
1 answer:
rjkz [21]3 years ago
7 0
The radius of the circle,
Pi × r² = 144 pi
r ² = 144
r = 12

The area of the sector,
60 / 360 × pi × 12² = 144/6 × 22/7 or 3.142
= 75. 43 or 24 pi
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Please help me answer all parts of question 3 in the photo.
Nookie1986 [14]
(i.) CA = πrl
CA = π (5*13)
CA = 65π

(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π

(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12

(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π


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Answer/explanation

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12x+20=-4

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12x=-24

Then you will divide 12 to isolate x

\frac{12x}{-24} =\frac{-24}{-24}

Obviously, -24 cancels out and you would get x=-2

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Step-by-step explanation:

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Step-by-step explanation:

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