This math topic focuses on calculating the fraction of a circle represented by a sector with a given area. Students learn to relate the sector's area to the total area of the circle, which involves understanding circle geometry and applying the formula \( \text{Area} = \pi r^2 \) where \( r \) is the radius. The problems require students to deduce the fractional part of the circle that the sector occupies, rounding to the closest integer, mainly engaging skills in fractions and geometric understanding within the broader context of circles, sectors, and area calculation.

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Area of a Circle Sector From Area to Fraction (Closest Integer) Worksheet

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Area of a Circle Sector From Area to Fraction (Closest Integer)
1
An svg image showing a math problem
A sector with area 22.62 is what fraction of a circle with radius 3?
a A LaTex expression showing 4 over 5
b A LaTex expression showing 13
c A LaTex expression showing 1
d A LaTex expression showing 7 over 4
e A LaTex expression showing 5 over 2
2
An svg image showing a math problem
A sector with area 6.28 is what fraction of a circle with radius 3?
a A LaTex expression showing 5 over 13
b A LaTex expression showing 2 over 9
c A LaTex expression showing 11 over 10
d A LaTex expression showing 1
e A LaTex expression showing 4 over 3
3
An svg image showing a math problem
A sector with area 47.12 is what fraction of a circle with radius 5?
a A LaTex expression showing 3 over 5
b A LaTex expression showing 8 over 7
c A LaTex expression showing 7 over 6
d A LaTex expression showing 1 over 3
e A LaTex expression showing 5 over 14
4
An svg image showing a math problem
A sector with area 16.76 is what fraction of a circle with radius 4?
a A LaTex expression showing 1 over 12
b A LaTex expression showing 1 over 3
c A LaTex expression showing 7 over 6
d A LaTex expression showing 1 over 11
e A LaTex expression showing 9 over 4
5
An svg image showing a math problem
A sector with area 25.13 is what fraction of a circle with radius 3?
a A LaTex expression showing 6 over 7
b A LaTex expression showing 8 over 9
c A LaTex expression showing 1 over 2
d A LaTex expression showing 4 over 17
e A LaTex expression showing 1 over 10
6
An svg image showing a math problem
A sector with area 10.6 is what fraction of a circle with radius 3?
a A LaTex expression showing 9 over 10
b A LaTex expression showing 6
c A LaTex expression showing 3 over 8
d A LaTex expression showing 8 over 7
e A LaTex expression showing 12 over 13
7
An svg image showing a math problem
A sector with area 12.57 is what fraction of a circle with radius 6?
a A LaTex expression showing 8 over 5
b A LaTex expression showing 8 over 3
c A LaTex expression showing 9 over 5
d A LaTex expression showing 1 over 9
8
An svg image showing a math problem
A sector with area 25.13 is what fraction of a circle with radius 6?
a A LaTex expression showing 3 over 8
b A LaTex expression showing 4 over 5
c A LaTex expression showing 2 over 9
d A LaTex expression showing 3 over 17
e A LaTex expression showing 5 over 17