What is the circumference of a circle whose area is 78.5 mm 2? It is possible to calculate the area of a circle given its circumference.įind the area of a circle whose circumference is 25.12 cm. Area of a circle using the circumferenceĪs we already know, the circumference of a circle is the distance around a circle. Thus, the diameter of the circle will be 14.1 m. Therefore, the dimensions of the square plate will be 17.72 cm by 17.72 cm.įind the diameter of a circle with an area of 156 m 2. Created by Sal Khan and Monterey Institute for Technology and Education.
Learn how to use this formula to find the area of a circle when given the diameter. Find the dimensions of a square plate that will have the same area as the circular plate.Įquate the area of the circle to the area of the squareįind the square root of both sides to get, The area of a circle is pi times the radius squared (A r). The diameter of a circular plate is 20 cm. So, the area of the circle with a diameter of 6 inches is 28.26 square inches.Ĭalculate the area of a dinner plate, which has a diameter of 10 cm. When the diameter of a circle is known, the area of the circle is given by,įind the area of a circle with a diameter of 6 inches.
Therefore, the area of the sprinkled lawn is 314 sq. Lawn sprinkler sprays water 10 feet in every direction as it rotates. Since the radius cannot have a negative value, we take positive 9 as the correct answer. The area of a circle is 254.34 square yards. Let’s get a better understanding of this formula by working out a few example problems.įind the area of a circle whose radius is 15 mm.Ĭalculate the area of the circle shown below. Pi (π) = 22/7 or 3.14 and r = the radius of a circle. Here is a three-tier birthday cake 6 6 inches tall with a diameter of 10 10 inches. The formula for area, A A, of a circle with radius, r, and arc length, L L, is: A (r × L) 2 A ( r × L) 2. As a result, the closer the perimeter of the polygon is to the circle, the closer the area of the polygon is to the area of the circle. Given the radius of a circle, the formula for calculating the area of a circle states that: You can also find the area of a sector from its radius and its arc length. Let us discuss these formulas for finding the area of a circle. These formulas are applied depending on the information you are given. The area of a circle can be calculated using three formulas. We can measure the area of a circle in m 2, km 2, in 2, mm 2, etc.
Then, the total number of full squares located inside the circle represents the area of the circle. In simple words, the area of a circle is the total number of square units inside that circle.įor example, if you draw squares of dimensions 1cm by 1cm inside a circle. The area of the circle is the measure of the space or region enclosed inside the circle. In this article, you will learn the area of a circle and the formulas for calculating the area of a circle. } Output The area of the circle is 200.To recall, the area is the region that occupied the shape in a two-dimensional plane. Printf("The area of the circle is %f",area) Example Variables used −įloat area, the area of circle calculated using the formula.
STEP 3: Print the area to the screen using the std output. STEP 2: Calculate the area of circle using, To calculate the area we are given the radius of the circle as input and we will use the formula to calculate the area, Algorithm STEP 1: Take radius as input from the user using std input. Calculate the Diameter of a Circle, from Its Area (or Vice Versa) Divide the area (in square units) by Pi (approximately 3.14159). Purpose: To discover a formula for the area of a circle. The formula for calculating the area of a circle, Area = π*r*r Equipment: You will need a compass, pair of scissors, ruler and protractor for this activity. The area of circle is the area enclosed inside the dimensions of a circle. The area is the quantitative representation of the span of the dimensions of a closed figure. The distance of points from the center is known as the radius. The point at the center is known as the center of the circle. All the points of the circle are equidistant from a point that lies inside in circle.