This math topic focuses on the geometry of circle sectors, specifically calculating sector areas and deducing the radius and sector angle from given area equations. The problems are intermediate-level, aimed at reinforcing the relationships between a circle's radius, the central angle, and the area of a sector. Each question provides an equation for the sector's area and requires solving for the possible values of radius and angle that satisfy the equation, with multiple-choice answers available.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Sector Area - Equation to Radius and Angle
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If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle?
Geometry of Circles - Sector Area - Equation to Radius and Angle Worksheet
| Math worksheet on 'Geometry of Circles - Sector Area - Equation to Radius and Angle (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/ |
| If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle? |
| r=3, angle=90º |
| r=1, angle=60º |
| r=4, angle=90º |
| r=0, angle=30º |
| r=2, angle=60º |
| r=4, angle=105º |
| If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle? |
| r=2, angle=75º |
| r=1, angle=60º |
| r=3, angle=120º |
| r=5, angle=15º |
| r=5, angle=60º |
| r=2, angle=60º |
| If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle? |
| r=9, angle=90º |
| r=1, angle=30º |
| r=7, angle=30º |
| r=6, angle=45º |
| r=6, angle=75º |
| r=6, angle=30º |
| If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle? |
| r=1, angle=105º |
| r=3, angle=60º |
| r=1, angle=45º |
| r=7, angle=120º |
| r=3, angle=15º |
| r=6, angle=0º |
| If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle? |
| r=5, angle=60º |
| r=4, angle=15º |
| r=3, angle=60º |
| r=0, angle=75º |
| r=3, angle=90º |
| r=2, angle=15º |
| If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle? |
| r=1, angle=90º |
| r=3, angle=75º |
| r=1, angle=30º |
| r=4, angle=90º |
| r=2, angle=15º |
| r=2, angle=0º |
| If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle? |
| r=1, angle=135º |
| r=1, angle=180º |
| r=2, angle=225º |
| r=4, angle=120º |
| r=2, angle=180º |
| r=4, angle=180º |