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.

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

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/

1

A sector with area 16.76 is what fraction of a circle with radius 4?

a

b

c

d

2

A sector with area 47.12 is what fraction of a circle with radius 5?

a

b

c

d

e

3

A sector with area 50.27 is what fraction of a circle with radius 6?

a

b

c

d

e

4

A sector with area 52.36 is what fraction of a circle with radius 5?

a

b

c

d

5

A sector with area 15.71 is what fraction of a circle with radius 5?

a

b

c

d

e

6

A sector with area 75.4 is what fraction of a circle with radius 6?

a

b

c

d

e

7

A sector with area 33.51 is what fraction of a circle with radius 4?

a

b

c

d

e