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Aleks04 [339]
3 years ago
15

The area of B is 144pi ft2 Find the circumference of b

Mathematics
2 answers:
baherus [9]3 years ago
8 0
A c=12 pi ft i think

juin [17]3 years ago
5 0
First, we use the area an the formula of the area to find the radius of the circle.

Area of circle = pi * r^2

144 pi ft^2 = pi * r^2

r^2 = 144 ft^2

r = 12 ft

The radius of the circle is 12 ft.

Now we use the circumference formula to find the circumference of the circle.

circumference of circle = 2 pi r

C = 2 * pi * 12 ft

C = 24pi ft
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Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
What's the answer to that question
nikdorinn [45]
Can you please put the question?
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3 years ago
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Phantasy [73]
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6 0
3 years ago
Which property is 5+ a = a + 5 ?
zheka24 [161]

Answer:

commutative \: property \: of \: addition \\ thank \: you

6 0
2 years ago
On a map with a scale of 1:24,000, a measured distance of one inch represents an actual distance of ___ feet.
dem82 [27]
The answer:  " 2,000 (feet) " .
___________________________________________
 1 measured in. = 24,000 actual inches.

24,000 inches = _?_ ft.  
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Note:  12 in.  = 1 ft. (exact conversion) ;

24,000 in. * (1 ft. / 12 in) = (24,000 / 12) ft. = 2,000 ft.
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The answer is:  2000 ft.
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5 0
3 years ago
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