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Area of a Circle Sector From Area to Arc Length (Closest Integer) (Level 3)

This math topic focuses on finding the arc length of a circle sector when given the sector area and circle radius, requiring approximation to the nearest integer. It is categorized under introductory geometry, specifically dealing with circle areas, sectors, and "donuts." Each problem presents a different sector area and radius, along with multiple-choice answers for the arc length. Skills practiced include applying formulas for circle sectors, understanding geometric properties, and performing calculations related to circle geometry.

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

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Circle Sector From Area to Arc Length (Closest Integer)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

A sector with area 16.76 in a circle of radius 4 has what the arc length (to the closest integer)?

?r=4

Area of a Circle Sector From Area to Arc Length (Closest Integer) Worksheet

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Math worksheet on 'Area of a Circle Sector From Area to Arc Length (Closest Integer) (Level 3)'. 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
An svg image showing a math problem
A sector with area 52.36 in a circle of radius 5 has what the arc length (to the closest integer)?
a
21
b
20
c
17
d
25
e
22
f
18
2
An svg image showing a math problem
A sector with area 26.18 in a circle of radius 5 has what the arc length (to the closest integer)?
a
7
b
10
c
9
d
12
e
6
f
11
3
An svg image showing a math problem
A sector with area 11.17 in a circle of radius 4 has what the arc length (to the closest integer)?
a
7
b
10
c
4
d
2
e
6
f
9
4
An svg image showing a math problem
A sector with area 4.71 in a circle of radius 3 has what the arc length (to the closest integer)?
a
0
b
1
c
6
d
3
e
2
f
4
5
An svg image showing a math problem
A sector with area 42.41 in a circle of radius 6 has what the arc length (to the closest integer)?
a
10
b
15
c
18
d
14
e
13
f
11
6
An svg image showing a math problem
A sector with area 16.96 in a circle of radius 3 has what the arc length (to the closest integer)?
a
10
b
7
c
8
d
9
e
11
f
12
7
An svg image showing a math problem
A sector with area 37.7 in a circle of radius 6 has what the arc length (to the closest integer)?
a
17
b
14
c
10
d
11
e
13
f
16