A student takes an 18-question, multiple-choice exam with five choices for each question and guesses on each question. Assume th
1 answer:
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Answer: <u>38.4845100065m²</u>
<em>when rounded to the nearest tenth: </em><u>38.5m²</u>
<em>when rounded to the nearest hundredth: </em><u>38.48m²</u>
<em>when rounded to the nearest thousandth: </em><u>38.485m²</u>
Step-by-step explanation:
the formula for finding the area of a circle is , where A = area and r = the radius of the circle.
since you're only given the circumference, we need to calculate the radius of the circle before we can find the area.
- to find the radius of a circle, you can either <u>divide the measure of the diameter by 2</u> <em>OR</em> <u>use the formula</u>
where r = radius and C = circumference.
- because there is no given diameter measurement in your question, <u>the best way to find the radius is to use the formula</u>
first, plug the given values into the equation.
since is the given circumference, plug in
for
.
- the equation becomes
, aka <em>radius equals seven times pi divided by two times pi</em>.
now divide .
now we know that the radius of the circle is 3.5 :) since we have this information, we can now solve for the area of the circle using the formula .
first, plug in for
.
⇒
now multiply , aka <em>pi times three and five tenths squared</em>.
<em>(if needed, you can round this result to the nearest tenth, hundredth, etc.)</em>
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the area of the circle is 38.4845100065m². i hope this helps! have an amazing day <3
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