Question

the measure of circle is based on what? ​

Answer 1

The measure of a circle is based on its radius.

• Radius is the length of the line joining the centre of the circle and the circumference of the circle.
• The measure of the area (A) of a circle is based on its radius (r) by the formula: A = πr²
• The formula to determine the circumference (C) of a circle is also based on its radius, C = 2πr

Answer 2

SOLUTION

TO DETERMINE

The measure of circle is based on

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.

CENTRE OF THE CIRCLE

The fixed point is called centre of the circle

RADIUS OF THE CIRCLE

The fixed distance is called the radius of the circle

So radius if defined as the distance between centre and any point on 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

From above we can conclude that The measure of circle is based on Centre and radius of the circle

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