Find the area of a circle with a circumference of 37.68 units.
1 answer:
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see the attached figure to better understand the problem
Step 1
<u>Find the value of c</u>
we know that
Applying the Pythagorean Theorem
we have
substitute the values in the formula
Step 2
<u>Find the value of angle A (α)</u>
we know that
in the right triangle ABC
Step 3
<u>Find the angle B (β)</u>
we know that
in the right triangle ABC
angle A and angle B are complementary angles
so
A+B=90
solve for B
B=90-A-------> B=90-60.48-----> B=29.52°
therefore
<u>the answers are</u>
a) the measure of side c is 580.36 mm
b) the measure of the angle α is 60.48°
c) the measure of the angle β is 29.52°
