This math topic focuses on calculating the area of a circle sector by converting a sector's fraction of the entire circle into its corresponding area in terms of π. It involves working with different radius values and different fractions of circles to determine the areas of the sectors. The questions in this topic illustrate practical application of the formula for the area of a sector: \( A = \frac{\theta}{360} \pi r^2 \), where \( \theta \) is the central angle in degrees, and \( r \) is the radius of the circle. Each problem presents multiple choice answers, enhancing understanding of circle geometry, specifically sectors.

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Area of a Circle Sector From Fraction to Area (Equation) Worksheet

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Area of a Circle Sector From Fraction to Area (Equation)
1
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 3/5 of the circle with radius 4
a A LaTex expression showing 16Pi
b A LaTex expression showing 8 over 5 Pi
c A LaTex expression showing 84 over 5 Pi
d A LaTex expression showing 48 over 5 Pi
2
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/5 of the circle with radius 6
a A LaTex expression showing 6Pi
b A LaTex expression showing 33 over 5 Pi
c A LaTex expression showing 36 over 5 Pi
d A LaTex expression showing 51 over 5 Pi
e A LaTex expression showing 57 over 5 Pi
3
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 2/5 of the circle with radius 6
a A LaTex expression showing 13Pi
b A LaTex expression showing 37 over 5 Pi
c A LaTex expression showing 72 over 5 Pi
d A LaTex expression showing 9 over 5 Pi
4
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/3 of the circle with radius 6
a A LaTex expression showing 28 over 9 Pi
b A LaTex expression showing 178 over 9 Pi
c A LaTex expression showing 188 over 9 Pi
d A LaTex expression showing 12Pi
5
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 3/5 of the circle with radius 3
a A LaTex expression showing 43 over 5 Pi
b A LaTex expression showing 27 over 5 Pi
c A LaTex expression showing 13 over 5 Pi
d A LaTex expression showing 21 over 5 Pi
e A LaTex expression showing 31 over 5 Pi
6
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 2/9 of the circle with radius 3
a A LaTex expression showing 25 over 9 Pi
b A LaTex expression showing 8 over 9 Pi
c A LaTex expression showing 2Pi
d A LaTex expression showing 5 over 3 Pi
e A LaTex expression showing 26 over 9 Pi
7
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 8/9 of the circle with radius 6
a A LaTex expression showing 428 over 9 Pi
b A LaTex expression showing 400 over 9 Pi
c A LaTex expression showing 32Pi
d A LaTex expression showing 512 over 9 Pi
8
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/3 of the circle with radius 5
a A LaTex expression showing 40 over 3 Pi
b A LaTex expression showing 25 over 3 Pi
c A LaTex expression showing 85 over 6 Pi
d A LaTex expression showing 10Pi