Find the area of the following circle. (Round answer to the nearest whole number.) Circumference = 280 cm. (Hint: Find r from C
2 answers:
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Answer:
Step-by-step explanation:
The circumference of a circle with radius is given by
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle
is equal to
.
Formulas at a glance:
- Circumference of a circle with radius
:
- Length of an arc with central angle
:
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be: