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

Level 3

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.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Circle Sector From Area to Fraction (Closest Integer)

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A sector with area 27.93 is what fraction of a circle with radius 4?

r=4

?

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

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Math worksheet on 'Area of a Circle Sector From Area to Fraction (Closest Integer) (Level 3)'. Part of a broader unit on 'Geometry - Circle Area, Sectors and Donuts - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_sector_donut_area_logic_intro/
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An svg image showing a math problem
A sector with area 37.7 is what fraction of a circle with radius 6?
a A LaTex expression showing 6 over 7
b A LaTex expression showing 3 over 4
c A LaTex expression showing 5
d A LaTex expression showing 7
e A LaTex expression showing 1 over 3
2
An svg image showing a math problem
A sector with area 34.91 is what fraction of a circle with radius 5?
a A LaTex expression showing 1
b A LaTex expression showing 7 over 11
c A LaTex expression showing 9 over 5
d A LaTex expression showing 1 over 2
e A LaTex expression showing 4 over 9
3
An svg image showing a math problem
A sector with area 27.93 is what fraction of a circle with radius 4?
a A LaTex expression showing 1 over 5
b A LaTex expression showing 4
c A LaTex expression showing 1 over 14
d A LaTex expression showing 7 over 4
e A LaTex expression showing 5 over 9
4
An svg image showing a math problem
A sector with area 43.63 is what fraction of a circle with radius 5?
a A LaTex expression showing 1 over 8
b A LaTex expression showing 5 over 9
c A LaTex expression showing 13 over 3
d A LaTex expression showing 11 over 8
e A LaTex expression showing 3 over 4
5
An svg image showing a math problem
A sector with area 33.51 is what fraction of a circle with radius 4?
a A LaTex expression showing 2 over 3
b A LaTex expression showing 4 over 3
c A LaTex expression showing 8 over 5
d A LaTex expression showing 10 over 11
e A LaTex expression showing 6
6
An svg image showing a math problem
A sector with area 21.99 is what fraction of a circle with radius 3?
a A LaTex expression showing 5 over 6
b A LaTex expression showing 1
c A LaTex expression showing 7 over 9
d A LaTex expression showing 1 over 3
7
An svg image showing a math problem
A sector with area 52.36 is what fraction of a circle with radius 5?
a A LaTex expression showing 1 over 4
b A LaTex expression showing 8 over 3
c A LaTex expression showing 3 over 2
d A LaTex expression showing 2 over 3
e A LaTex expression showing 1 over 14