This math topic focuses on the area of a part circle, specifically calculating the total circle area from the area of a shaded sector, given as a fractional part of the whole in decimal form. Each problem provides the area of a half-circle sector and asks to find the full circle area, practicing skills in geometric reasoning, fraction-to-decimal conversion, and area calculations within circle geometry. The questions include multiple-choice answers, all presenting opportunities to apply geometric concepts in a practical context.

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

more
View

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

Mobius Math Academy logo
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 1/2 sector is 5. What is the area of the full circle?
a
3
b
17
c
10
d
1
e
4
f
14
2
An svg image showing a math problem
The area of the green shaded 1/2 sector is 7. What is the area of the full circle?
a
4
b
5
c
14
d
16
e
7
f
18
3
An svg image showing a math problem
The area of the green shaded 1/2 sector is 2. What is the area of the full circle?
a
6
b
3
c
4
d
9
e
1
f
13
4
An svg image showing a math problem
The area of the green shaded 1/2 sector is 6. What is the area of the full circle?
a
15
b
20
c
19
d
5
e
13
f
12
5
An svg image showing a math problem
The area of the green shaded 1/2 sector is 4. What is the area of the full circle?
a
7
b
8
c
5
d
14
e
9
f
16
6
An svg image showing a math problem
The area of the green shaded 1/2 sector is 3. What is the area of the full circle?
a
4
b
8
c
6
d
5
e
7
f
2