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If the diameter of the circle is 5cm, what is the circumference and area of the figure?

Answer
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Hint: Here in this question we want to find the area and circumference of a circle whose diameter is given to us as 5cm. To find the area of a circle, we have a standard formula, A=πr2. Also, we have a standard formula for finding the circumference of a circle when we are provided with the radius of the circle, C=2πr. We know the value of π and the value of radius is given to us in the question itself. We substitute known values and determine the area of a circle using the formula.

Complete step by step answer:
The circle is a two dimensional figure and we have to determine the area, where the area is the region or space occupied by the circular field. To determine the area of a circle we have the standard formula A=πr2 where r represents the radius. In the given question, we are given the length of the diameter in centimetres. So, we will first find the radius using Diameter=2×Radius.
So, 2×Radius=5cm
Radius=5cm2=2.5cm
So, we will get the area of the circle using the formula in the unit square centimetres.

To find the area of a circle, we use formula A=πr2. The radius of the circle is 2.5cm.
By substituting, we get,
A=πr2
A=π(2.5cm)2
A=6.25πcm2
Therefore the area of a circle with a radius 2.5cm centimetres is 25πcm2.We can substitute the value of π to find the area and we can simplify further.Substituting the value of π, we have,
A=6.25×(227)cm2
Further simplifying the calculations, we have,
A=(137.57)cm2
On further simplification and representing it in decimal expression, we have,
A=19.643cm2
Hence the area of a circle whose diameter is 5 centimetres is 19.643cm2.

Now, the circumference of the circle can be calculated using the formula C=2πr by substituting the value of the radius of the circle given in the question itself.
So, we get,
C=2π(2.5cm)
C=5πcm
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Putting the value of π, we get,
C=(5×227)cm
C=1107cm
C=15.715cm

Therefore, the circumference of a circle with a diameter 5 centimetre is 15.715cm.

Note: The circle is a two-dimensional figure and we have to determine the area, where the area is the region or space occupied by the circular field. The area of a circle is defined as the region occupied by the circular region. The radius is denoted by r or R. Value of π is approximately taken as (227). The radius of a circle is half of the value of the diameter. So, we have, Diameter=2×Radius.