Area of a Circle Sector From Fraction to Area (Equation) (Level 1)

This math topic focuses on calculating the area of a circle's sector, expressed in terms of π. It tests understanding of the relationship between fractions of a whole circle and its corresponding sector area, requiring the use of the formula for the area of a circle sector. Each question provides the fraction of the circle covered by the sector and the radius length, and asks to solve for the area. The varieties of circle radii and sector proportions offer practice in applying the area formula under different scenarios, enhancing both theoretical understanding and computational skills in geometry.

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 1)'. 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 1/2 of the circle with radius 1

a

b

c

d

2

Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 1

a

b

c

d

e

3

Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 4

a

b

c

d

4

Find the area (in terms of π) of the green shaded sector that covers 1/2 of the circle with radius 5

a

b

c

d

e

5

Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 6

a

b

c

d

e

6

Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 3

a

b

c

d

e

7

Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 5

a

b

c

d

e