Question

Find the diameter of radius = 43cm​

Answer 1

Diameter = Radius × 2

= 43 × 2

= 86cm

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Answer 2

SOLUTION

TO DETERMINE

The diameter of a circle if radius = 43cm

CONCEPT TO BE IMPLEMENTED

CIRCLE

A circle is the locus of a point which moves in a plane so that its distance from a fixed point is always constant.

The fixed point is called centre of the circle

The fixed distance is called the radius of the circle

RELATION BETWEEN RADIUS AND DIAMETER

The relation between radius and diameter of a circle is given by

$\sf{Diameter \: of \: a \: circle =2 \times Radius \: of \: the \: circle }$

GENERAL EQUATION OF A CIRCLE

The general equation of a circle is

$\sf{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \: \: }$

where (h, k) is the centre of the circle and r is the radius of the circle

EVALUATION

Here it is given that

The radius of a circle = 43 cm

So the diameter of the circle

$\sf{ = 2 \times 43 \: } \: \: cm$

$\sf{ = 86 \: \: cm}$

GRAPH

The graph is referred to attachment

In the graph

Radius = AB = 43 cm

Diameter = AC = 86 cm

FINAL ANSWER

The diameter of the circle = 86 cm

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