This math topic focuses on calculating the full area of a circle based on the area of a sector given in decimal form. The problems provide the area of a shaded sector and its fractional part relative to the whole circle, requiring the calculation to find the total area of the circle. Essential skills practiced include understanding fractions, decimals, and basic geometry concepts related to circles, specifically sectors. The problems progressively tackle different fraction scenarios and expect the student to apply fraction-to-decimal conversions and scaling to determine the full circle's area.

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

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Area of a Part Circle - Part Area and Fraction to Full Area (Decimal) Worksheet

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Area of a Part Circle - Part Area and Fraction to Full Area (Decimal)
1
An svg image showing a math problem
The area of the green shaded 3/4 sector is 15. What is the area of the full circle?
a
24
b
14
c
4
d
20
e
30
f
2
2
An svg image showing a math problem
The area of the green shaded 2/5 sector is 6. What is the area of the full circle?
a
15
b
6
c
9
d
19
e
16
f
18
3
An svg image showing a math problem
The area of the green shaded 2/3 sector is 12. What is the area of the full circle?
a
13
b
16
c
27
d
8
e
18
f
22
4
An svg image showing a math problem
The area of the green shaded 3/5 sector is 15. What is the area of the full circle?
a
33
b
15
c
9
d
25
e
5
f
17
5
An svg image showing a math problem
The area of the green shaded 1/5 sector is 7. What is the area of the full circle?
a
44
b
29
c
35
d
38
e
20
f
59
6
An svg image showing a math problem
The area of the green shaded 3/4 sector is 21. What is the area of the full circle?
a
28
b
32
c
36
d
20
e
22
f
16
7
An svg image showing a math problem
The area of the green shaded 3/4 sector is 9. What is the area of the full circle?
a
5
b
20
c
21
d
10
e
9
f
12
8
An svg image showing a math problem
The area of the green shaded 1/5 sector is 6. What is the area of the full circle?
a
39
b
30
c
51
d
15
e
6
f
42