Area of a Circle Sector From Fraction to Area (Equation) (Level 2)

This math topic focuses on calculating the areas of circle sectors, expressed in terms of π, where the portion of the circle is given as a fraction, and the radius is specified. Through multiple choice questions, students practice finding sector areas for circles with various radii and fractional portions, integrating concepts from geometry, notably involving circle areas, sectors, and understanding fractional parts of circles. These exercises help students develop fluency with practical application of the circle sector area formula \( Area = \frac{1}{2} \times radius^2 \times \theta \), where \( \theta \) is the angle in radians corresponding to the sector.

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 2)'. 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 1/8 of the circle with radius 2

a

b

c

d

2

Find the area (in terms of π) of the green shaded sector that covers 1/6 of the circle with radius 5

a

b

c

d

e

3

Find the area (in terms of π) of the green shaded sector that covers 1/8 of the circle with radius 6

a

b

c

d

e

4

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

a

b

c

d

e

5

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

a

b

c

d

e

6

Find the area (in terms of π) of the green shaded sector that covers 1/6 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 1/3 of the circle with radius 6

a

b

c

d

e