Area of a Circle Sector From Fraction to Area (Equation) (Level 3)

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.

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

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

Math worksheet on 'Area of a Circle Sector From Fraction to Area (Equation) (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

Find the area (in terms of π) of the green shaded sector that covers 2/3 of the circle with radius 5

a

b

c

d

2

Find the area (in terms of π) of the green shaded sector that covers 5/6 of the circle with radius 3

a

b

c

d

e

3

Find the area (in terms of π) of the green shaded sector that covers 5/6 of the circle with radius 5

a

b

c

d

4

Find the area (in terms of π) of the green shaded sector that covers 4/9 of the circle with radius 4

a

b

c

d

5

Find the area (in terms of π) of the green shaded sector that covers 1/3 of the circle with radius 3

a

b

c

d

6

Find the area (in terms of π) of the green shaded sector that covers 3/8 of the circle with radius 5

a

b

c

d

e

7

Find the area (in terms of π) of the green shaded sector that covers 2/3 of the circle with radius 5

a

b

c

d

e