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

This math topic focuses on calculating the fraction of a circle's area that a sector occupies, using the given area of the sector and the circle's radius. It involves understanding and working with the formula for the area of a circle and a sector. The problems enhance skills in geometry, specifically in the domains of circle areas, sectors, and the calculation of fractions. Each question presents a scenario where learners must determine the fractional area of a sector relative to the whole circle, given specific measurements. This is foundational for grasping more complex concepts in circular geometry.

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

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

Math worksheet on 'Area of a Circle Sector From Area to Fraction (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 what fraction a sector with area 2 π is of a circle with radius 2

a

b

c

d

e

2

Find what fraction a sector with area 1 π is of a circle with radius 2

a

b

c

d

e

3

Find what fraction a sector with area 3 π is of a circle with radius 2

a

b

c

d

e

4

Find what fraction a sector with area 25/2 π is of a circle with radius 5

a

b

c

d

e

5

Find what fraction a sector with area 1/2 π is of a circle with radius 1

a

b

c

d

e

6

Find what fraction a sector with area 75/4 π is of a circle with radius 5

a

b

c

d

7

Find what fraction a sector with area 18 π is of a circle with radius 6

a

b

c

d

e