This math topic focuses on calculating the fraction of a circle covered by a sector, based on given sector areas and circle radii. It combines elements of geometry, specifically dealing with circle sectors, and fraction computation. Each problem presents a sector's area and the radius of the circle to which the sector belongs, requiring the learner to determine what fraction of the circle's total area is represented by the sector. Multiple-choice answers guide the learners to find the correct fraction, utilizing equations and understanding of circle geometry principles.

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

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Area of a Circle Sector From Area to Fraction (Equation)
1
An svg image showing a math problem
Find what fraction a sector with area 27/8 π is of a circle with radius 3
a A LaTex expression showing 3 over 8
b A LaTex expression showing 3 over 4
c A LaTex expression showing 5 over 14
d A LaTex expression showing 11 over 5
e A LaTex expression showing 10 over 3
2
An svg image showing a math problem
Find what fraction a sector with area 10 π is of a circle with radius 4
a A LaTex expression showing 1 over 2
b A LaTex expression showing 3
c A LaTex expression showing 4 over 9
d A LaTex expression showing 8 over 9
e A LaTex expression showing 5 over 8
3
An svg image showing a math problem
Find what fraction a sector with area 63/2 π is of a circle with radius 6
a A LaTex expression showing 7 over 8
b A LaTex expression showing 3 over 4
c A LaTex expression showing 4 over 7
d A LaTex expression showing 14 over 3
e A LaTex expression showing 5
4
An svg image showing a math problem
Find what fraction a sector with area 50/3 π is of a circle with radius 5
a A LaTex expression showing 1 over 2
b A LaTex expression showing 2 over 3
c A LaTex expression showing 1
d A LaTex expression showing 8 over 11
5
An svg image showing a math problem
Find what fraction a sector with area 48/5 π is of a circle with radius 4
a A LaTex expression showing 7
b A LaTex expression showing 2 over 3
c A LaTex expression showing 3 over 5
d A LaTex expression showing 5 over 2
e A LaTex expression showing 1
6
An svg image showing a math problem
Find what fraction a sector with area 27/5 π is of a circle with radius 3
a A LaTex expression showing 3
b A LaTex expression showing 9 over 10
c A LaTex expression showing 3 over 5
d A LaTex expression showing 1 over 3
e A LaTex expression showing 11 over 12
7
An svg image showing a math problem
Find what fraction a sector with area 6 π is of a circle with radius 4
a A LaTex expression showing 9 over 4
b A LaTex expression showing 1 over 15
c A LaTex expression showing 3 over 7
d A LaTex expression showing 3 over 8
e A LaTex expression showing 12 over 13
8
An svg image showing a math problem
Find what fraction a sector with area 6 π is of a circle with radius 3
a A LaTex expression showing 13 over 5
b A LaTex expression showing 2 over 5
c A LaTex expression showing 2 over 3
d A LaTex expression showing 4 over 17
e A LaTex expression showing 14 over 3