Converting units
Conver 0.3285km to m
0.3285 x 1000= 328.5m
What is circumference?
Circumference is the perimeter of a circle
Find the area of a rectangle carpark with the length of 47.4m and width of 31.8m.
1. To find the area of a rectangle, use:
Area=length×width
2. Substitute the values:
Area=47.4×31.8
Area=1507.32m2
What is the formula to find the area of a circle?
pi x r x r or pi x r2
What does volume measure?
The amount of space inside an object
Convert 560m to mm
560 x 1000 = 560 000mm
What formula can be used to find the circumference of a circle?
pi x d or 2 x pi x r
A corner flag in the English Premier league has a base of 9cm and a height of 6cm. What is the total area of the flag?
1. Using the formula for the area of a triangle:
A=b×h/2
2. Substitute the values:
A=9×6
A=54/2
A=27cm2
What is the area of a discus with a diameter of 22cm?
A=pi x r x r
First, find the radius:
r=11
Substitute into the formula:
A≈pi x 11x 11
A≈379.94
Find the volume of a rectangular prism with the length of 5, width of 3 and height of 6.
Volume of a rectangular prism = length × width × height
Volume = 5 × 3 × 6
Volume = 90
Answer: 90 units³
Convert 4km2 to m2
4,000,000m2
A rectangle has the length of 5cm and a width of 3cm. What is it's perimeter?
p= 5+5+3+3
p=16cm
A tactical formation on a soccer coach's board is in the shape of a parallelogram. The base is 48cm and height is 21cm. What is the area of the parallelogram?
1. Area=base×height
2. Substitute the values:
Area=48×21
Area=1008cm2
Find the area of a semi-circle with the radius of 7.5cm.
Area of a semicircle = (π × r²) ÷ 2
Area = (3.14 × 7.5 × 7.5) ÷ 2
Area = (3.14 × 56.25) ÷ 2
Area = 176.625 ÷ 2
Area = 88.3125 cm²
Find the volume of a triangular prism if the triangle face height is 6cm, the triangle base is 5 and the height of the prism is 10cm.
Volume of a triangular prism = area of triangle × length of prism
Volume = ((base × height) ÷ 2) × prism height
Volume = ((5 × 6) ÷ 2) × 10
Volume = (30 ÷ 2) × 10
Volume = 15 × 10
Volume = 150 cm³
Convert 326cm2 to m2
326/10000= 0.03262
A student is running laps of a track (this track is a circle). The tracks' radius is 15m.
If this student runs 3 laps. How far do they run?
Step 1: Write circumference formula
c= pi x diameter
Step 2: Find diameter
d= 30
Step 3: Substitute into formula
c= pi x 30
c= 92.25m
Step 4: Multiply by 3 (3 laps)
3 laps= 92.25 x 3
3 laps=282.74m
A kite is purchased from a store. Its length is 48cm and its width is 36cm. What is the area?
Area=x × y/2
Substitute the values:
Area=48×36
Area=1728/2
Area=864cm2
Find the area of a quater circle with the radius of 12m.
Area of a quarter circle = (π × r²) ÷ 4
Area = (3.14 × 12 × 12) ÷ 4
Area = (3.14 × 144) ÷ 4
Area = 452.16 ÷ 4
Area = 113.04 m²
Find the volume of a cylinder if the radius is 5m and the height of the cylinder is 20m.
Volume of a cylinder = π × r² × h
Volume = 3.14 × 5² × 20
Volume = 3.14 × 25 × 20
Volume = 3.14 × 500
Volume = 1570
Answer: 1570 m³
Convert 12km3 to m3
12 x (1000m)3= 12 x 1,000,000,000 m3= 12,000,000,000m3
Find the perimeter of a semi-circle with the diameter of 8m.
Step 1: Find the radius
r= 4
Step 2: Find the curved part
pi x r x r= pi x 4 x 4= 50.27
Step 3: Divide answer by 2 (due to it being a semi-circle)
50.27/2= 25.13
Step 4: Add diameter to total
p= 25.13+8
p= 33.13m
If the area of a triangle is 35cm and the base is 10. What is the height?
A=b×h/2
Substitute the known values:
35=10×h/2
Multiply both sides by 2:
70=10h
Divide both sides by 10:
h=7cm
A circle has the area of 65cm2. What is its radius?
Area of a circle = π × r²
65 = 3.14 × r²
r² = 65 ÷ 3.14
r² ≈ 20.70
r = √20.70
r ≈ 4.55 cm
If the volume of a rectangular prism is 450cm^3. The length is 40cm a width of 3cm. what is the height?
Volume of a rectangular prism = length × width × height
450 = 40 × 3 × height
450 = 120 × height
height = 450 ÷ 120
height = 3.75 cm
Answer: 3.75 cm