This math topic focuses on determining the fraction of a circle's area that is shaded based on a given sector angle. It is an introductory exercise in the broader context of understanding the partial areas and circumferences of circles within geometry. Each problem provides a specific angle for a circle's sector and asks to calculate the fractional area of that sector relative to the entire circle. Various angles and choices for the fractional answers are presented, enhancing the understanding of the relationship between angle magnitude and fractional areas in circles.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
moreArea of a Part Circle - Angle to Fraction Worksheet
| Math worksheet on 'Area of a Part Circle - Angle to Fraction (Level 1)'. Part of a broader unit on 'Geometry - Circle Partial Area and Circumference - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_partial_perimeter_area_intro/ |
1
| What fraction of the circle's area is shaded if the sector has an angle of 216º |
a
b
c
d
e
2
| What fraction of the circle's area is shaded if the sector has an angle of 180º |
a
b
c
d
3
| What fraction of the circle's area is shaded if the sector has an angle of 144º |
a
b
c
d
e
4
| What fraction of the circle's area is shaded if the sector has an angle of 90º |
a
b
c
d
e
5
| What fraction of the circle's area is shaded if the sector has an angle of 288º |
a
b
c
d
e
6
| What fraction of the circle's area is shaded if the sector has an angle of 216º |
a
b
c
d
e
7
| What fraction of the circle's area is shaded if the sector has an angle of 240º |
a
b
c
d
