Work out the area of this circle.
1 answer:
→Answer:
→Step-by-step explanation:
Well the formula for the area of a circle is .
<u><em>→Given information</em></u>
Pi is 3.142
radius is 4 cm
answer must be rounded to the nearest tenth
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So now we have to plug in the given information into the following formula .
(3.142)(4)^2
So now we have to solve this formula using PEMDAS.
So 4 squared is 16 and 16*3.142 is 50.272cm^2.
The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.
__________________I do hope this helps!__________________________
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Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.