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natalie2sheffield
04.05.2020 •
Mathematics
A circle has a sector with area \dfrac{24}{5}\pi 5 24 πstart fraction, 24, divided by, 5, end fraction, pi and central angle of \purple{48^\circ}48 ∘ start color #9d38bd, 48, degrees, end color #9d38bd. What is the area of the circle?
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Ответ:
Question:
A circle has a sector with area 24π/5 and central angle of 48°.
What is the area of the circle?
The area of the circle is 36π
Step-by-step explanation:
Given
Area of sector = 24π/5
Central angle, θ = 48°
Required:
Area of the circle
First we need to calculate radius of the circle.
This can be solved from area of a sector
Area of a sector = θ *![\frac{\pi r^2}{360}](/tpl/images/0629/6760/c4c7e.png)
By substituting 24π/5 for area and 48° for θ, we have
Multiply both sides by![\frac{360}{48}](/tpl/images/0629/6760/1be42.png)
36π = πr²
Divide both sides by π
36 = r²
Take square root of both sides
√36 = √r²
6 = r
Hence, radius = 6
Then, the area of the circle can now be calculated.
Area = πr²
Substitute 6 for r
Area = π * 6²
Area = π * 36
Area = 36π
Hence, the area of the circle is 36π
Ответ:
A) f(w) = 45w + 35
B) f: no. of flowers that bloomed
w: no. of weeks
C) 1,655 flowers
Step-by-step explanation:
A
f(s) = 3s + 35
Since s = 15w
f(w) = 3(15w) + 35
f(w) = 45w + 35
C
w = 36
f(36) = 45(36) + 35
f(36) = 1655