Circle Circumference and Area Calculation

MathematicsGeometryEasy

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The diameter of a circle is 10 centimetres. (a) Work out the circumference of the circle. ($\pi = 3$) (b) Work out the area of the circle. ($\pi = 3$)

This question includes visual content: A circle diagram is shown with a horizontal line segment passing through the center connecting two points on the circumference (diameter), labeled '10 cm'.

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Step by Step Written Solution

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Step 1

Hi Gülen, let's solve this circle geometry problem together step by step.

Circle Calculations

2
Step 2

We are given a circle with a diameter of ten centimeters, and we are told to use three as the value for pi.

10 cm
$$d = 10 \text{ cm}$$
$$\pi = 3$$
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Step 3

First, for part a, let's calculate the circumference. The formula for circumference is pi times the diameter.

Part (a): Circumference

$$C = \pi \times d$$
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Step 4

Now, we substitute the known values: three for pi and ten for the diameter.

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Step 5

Multiplying these gives us thirty. So, the circumference is thirty centimeters.

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About This Question

Subject
Mathematics
Topic
Geometry
Difficulty
Easy
Question Type
Open Ended

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