Answer:
The product in simplest form is
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = √16x
f(x) = 3/8 √9x
f(x) = 6/5 √x
Pi = 3. Area of a circle = pi×r squared.
R is radius, and the radius of that circle is 11 m. therefore, 3.14×11 squared will give you your answer. Don't forget, exponent before multiplication
11^2 = 121
121×3 = 363 That's the area of the big circle.
Now, 11÷2 gives you the radius of the small circles. you get 4.5
4.5^2 = 20.25
20.25*3 = 60.75
That's the area of ONE small circle. double it and you have the area of 2.
60.75×2= 121.5
Now just subtract the area of the small ones from the area of the big one to find the area of the shaded region.
363-121.5= 241.5
Now, you're done!
Answer:
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Step-by-step explanation:
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Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m
Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.
<h3>What is the surface area of sphere?</h3>
The surface area of sphere is given by A = 4πr² where r = radius of sphere
<h3>Radius of the sphere</h3>
Making r subject of the formula, we have
r = √(A/4π)
Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.
So, A = 78.5 m²
Substituting this into the equation for r, we have
r = √(A/4π)
r = √(78.5 m²/4π)
r = √(19.625 m²/π)
= √(6.246 m²)
= 2.499 m
≅ 2.5 m
So, the radius of the sphere is 2.5 m
Learn more about radius of sphere here:
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