A circle has an area of 154 cm². What is the radius? (2019) 2019

A circle has an area of 154 cm². What is the radius? (2019) 2019

Step 1: Understand that the area of a circle is given by the formula Area = πr², where r is the radius.
Step 2: We know the area of the circle is 154 cm².
Step 3: To find the radius, we need to rearrange the formula to solve for r. This gives us r = √(Area/π).
Step 4: Substitute the area into the formula: r = √(154/π).
Step 5: Use the value of π as approximately 3.14. So, we calculate 154/3.14.
Step 6: Perform the division: 154 ÷ 3.14 ≈ 49.04.
Step 7: Now, take the square root of 49.04 to find r: r = √49.04.
Step 8: Calculate the square root: r ≈ 7 cm.

Area of a Circle – The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.
Square Root Calculation – Finding the radius involves taking the square root of the area divided by π.
Approximation of π – Using an approximate value for π (3.14) can lead to slight inaccuracies in the final answer.