Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.
1 answer:
Answer:
The area of the circle is 2520 cm²
Step-by-step explanation:
The area of an arc is given by the following formula:
arc area = pi*r²(angle/360)
In this case we have the area and the angle and we want to find r, so we have:
210 = pi*r²*(30/360)
210 = pi*r²*(1/12)
210*12 = pi*r²
pi*r² = 210*12
r² = 2520/pi
r = sqrt(2520/pi)
r = 28.3221
The area of the circle that has this arc is given by:
area = pi*r²
area = pi*(28.3221)² = 2520 cm²
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