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Length
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Calculate perimeter of polygons and circumference of circles.
Measurement · MA4-LEN-C-01
Sub-topics
Perimeter
Calculate the perimeter of polygons and composite shapes, and find a missing side given the perimeter.
Circumference
Calculate the circumference of a circle given the radius or diameter, and find the radius given the circumference.
Open Math
Length
Measurement · MA4-LEN-C-01
Name:
Date:
Perimeter
Q1
Straightforward
Find the perimeter of a rectangle with length
8
8
8
cm and width
5
5
5
cm.
Q2
Straightforward
Find the perimeter of a square with side length
9
9
9
m.
Q3
Straightforward
A triangle has sides measuring
6
6
6
cm,
8
8
8
cm and
10
10
10
cm. Find its perimeter.
Q4
Straightforward
A regular hexagon has a side length of
5
5
5
cm. Find its perimeter.
Q5
Moderate
A composite L-shaped figure has sides measuring
10
10
10
m,
5
5
5
m,
4
4
4
m,
3
3
3
m,
6
6
6
m and
2
2
2
m. Find its perimeter.
Q6
Moderate
A composite figure has sides measuring
12
12
12
cm,
7
7
7
cm,
5
5
5
cm,
3
3
3
cm,
7
7
7
cm and
4
4
4
cm. Find its perimeter.
Q7
Moderate
A composite L-shaped figure has sides measuring
8
8
8
m,
5
5
5
m,
3
3
3
m,
3
3
3
m,
5
5
5
m and
2
2
2
m. Find its perimeter.
Q8
Moderate
A composite figure has sides measuring
14
14
14
cm,
8
8
8
cm,
6
6
6
cm,
4
4
4
cm,
8
8
8
cm and
4
4
4
cm. Find its perimeter.
Q9
Challenging
The perimeter of a rectangle is
28
28
28
cm and its width is
6
6
6
cm. Find the length.
Q10
Challenging
A regular octagon has a perimeter of
56
56
56
m. Find the length of one side.
Q11
Challenging
A triangle has a perimeter of
40
40
40
cm. Two of its sides measure
15
15
15
cm and
13
13
13
cm. Find the length of the third side.
Q12
Challenging
A rectangle has a perimeter of
46
46
46
m. Its length is
7
7
7
m more than its width. Find the width.
Circumference
Q13
Straightforward
Find the circumference of a circle with radius
5
5
5
cm. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q14
Straightforward
Find the circumference of a circle with radius
7
7
7
m. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q15
Straightforward
Find the circumference of a circle with radius
3
3
3
cm. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q16
Straightforward
Find the circumference of a circle with radius
12
12
12
m. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q17
Moderate
Find the circumference of a circle with diameter
8
8
8
cm. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q18
Moderate
Find the circumference of a circle with diameter
11
11
11
m. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q19
Moderate
Find the circumference of a circle with diameter
15
15
15
cm. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q20
Moderate
Find the circumference of a circle with diameter
18
18
18
m. Give your answer correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q21
Challenging
A circle has a circumference of
62.83
62.83
62.83
m. Find the radius correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q22
Challenging
A circle has a circumference of
50.27
50.27
50.27
cm. Find the radius correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q23
Challenging
A circle has a circumference of
94.25
94.25
94.25
m. Find the radius correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Q24
Challenging
A circle has a circumference of
69.12
69.12
69.12
cm. Find the radius correct to 2 decimal places. Use
π
≈
3.14159
\pi \approx 3.14159
π
≈
3.14159
.
Worked solutions and answers at openmath.au/year-7/length