Answer:
Given: circle
diameter = 10 cm => radius (R) = 5 cm
Find: measure of angle bounding sector = 11 π sq. cm.
Plan: determine what part of the circle’s total area equals the sector’s area.
Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.
Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25
Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.
C = 2 π R = 2 π (5) = 10 π cm
Sector Arc = measure of sector angle = 11/25 (10 π) =
22π/5 radians
Answer: Sector Arc = 22π/5 Radians
because it's a linear function.
31.02 mm.
Step-by-step explanation:
Step 1:
The area of the given circle is 240.48 π sq mm
We need to find the diameter of the circle
Step 2:
The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle
We know that the diameter of circle is 2 times its radius.
Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2 , we get the diameter.
Step 3 :
Using the above method , we have
πr² = 240.48 π
=> r² = 240.48 π / π = 240.48
=> r = √240.48 = 15.51 approximately
Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.
If A and B are complementary angles, then they add up to 90 degrees.
So A + B = 90 => (x + 24) + (x + 16) = 90 => 2x + 40 = 90 => 2x = 50.
So x = 25, and thus, the measurement of B is (25 + 16) = 41.
The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.
Answer:
21 miles per 1 gallon
Step-by-step explanation:
The unit rate is how many to 1 so, 42 divided by 2 equals 21 so, the answer is given.
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