How to find the area of a circle using diameter?
The diameter of a circle is the largest chord that passes through the centre.
The area of a circle is the amount of space enclosed within the boundary of a circle and it is expressed in square units.
Answer: The area of a circle using diameter can be found by the formula, Area = 1/4πd2, where 'd' is the diameter of the circle and 'π' (pi) is a constant with a value of 22/7 or 3.14
Let us understand this with the following example.
If the diameter of a circle is 7 units, find its area.
The formula to calculate the area of a circle is, Area using diameter = 1/4πd2
Here, d = 7, and π = 22/7, therefore, we will substitute these values in the equation.
Area = 1/4πd2
Area = 1/4 × 22/7 × 72
Area = 1/4 × 22/7 × 7 × 7
Area = 38.5 square units