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In Mathematics / High School | 2025-07-08

Dimension of the lamp shade: Height = 31 cm Diameter = 200 mm The following formulae may be used: Circumference = π x diameter Area of a circle = π x Radius², where π = 3.142 Area of a rectangle = length x breadth Use the information above to answer the questions that follow. 4.1 Explain the term circumference in this context. 4.2 Calculate the circumference of the lamp shade in centimetres.

Asked by arsh1022

Answer (1)

4.1 Explain the term circumference in this context.
In this context, the circumference of the lamp shade refers to the distance around the circular base of the lamp shade. It is similar to finding the perimeter of a circle. This measurement helps in determining how much material is needed to wrap around the circular part of the lamp shade.
4.2 Calculate the circumference of the lamp shade in centimetres.
To calculate the circumference, we use the formula:
Circumference = π × diameter
First, convert the diameter from millimeters to centimeters. Since 1 cm = 10 mm, we convert 200 mm to cm:
Diameter in cm = 10 200 mm ​ = 20 cm
Now, use the formula with π = 3.142 :
Circumference = 3.142 × 20 cm
Circumference = 62.84 cm
Therefore, the circumference of the lamp shade is 62.84 cm.

Answered by MasonWilliamTurner | 2025-07-22