How to Find the Area of a Circle The total space inside the boundary of the circle is called as the area of the circle. Area is measured in terms of square unit. Area of a circle can be found if the radius of the circle is given with the help of the area of a circle formula. Area of a Circle Formula Area of a circle is the number of square units inside that circle. Area of a Circle formula is (A) = π.r2 Where r is the radius. Alternate formula for the area is, A = π.d2/4, Where d is the diameter. How to Find the Area of a Circle Students can learn How to Find the Area of a Circle by observing the steps followed in the below given solved examples: Example 1: Find the area of a circle with radius as 5 cm. Know More About What is the Circumference of a Circle
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Solution :Given radius (r) = 5cm Area of a circle= π.r2 Here, r = 5cm. Therefore, we have 3.142 * 5 * 5 = 78.5398 sq cm If the diameter of a circle is given, we can either compute radius from diameter and utilize the same formula as above or use the diameter version of the area formula Example 2: The Area of a circle with diameter as 8cm is: Solution :Area of the circle = π.d2/4 = 3.142 * 8 * 8/4 = 50.265 sq cm. Learn More How to Find Circumference of a Circle
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The Distance Formula Learn about distance formula here and understand the concept better with solved examples provided. Students can also use the online distance formula calculator and distance formula worksheet provided in the page. Let's understand what is the distance formula? The length of a line segment AB, which joins A (x1, y1) and B (x2, y2) is given by,
Distance Formula Proof Let A (x1, y1) and B (x2, y2) be two points in the plane.
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Let d = distance between the points A and B. Draw AL and BM perpendicular to x-axis (parallel to y-axis). Draw AC perpendicular to BM to cut BM at C. In the figure, OL = x1, OM = x2 [AC = LM = OM - OL = x2 - x1] MB = y2, MC = LA = y1 [CB = MB - MC = y2 - y1] From the right-angled DACB, Note :i) If the points A and B lie on the x-axis, then the ordinates of A and B are zeros. i.e., A (x1, 0), B (x2,0)
ii) If the points A and B lie on the y-axis, then the abscissae of A and B are zeros. i.e., A (0,y1) and B (0,y2)
iii) Distance of any point A (x, y) from the origin
Read More About Circumference of a Circle Equation
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Distance Formula Examples Below are some examples based on distance formula Example 1: Find the distance between the following pair of points: A (1,2) and B (4,5). Solution: Using the distance formula, we have Example 2: Find the distance between places when the two coordinates (2, 4) and (4, 6)are given, using the distance formula.? Solution: (x1, y1)= (2, 4) (x2, y2) = (4, 6) Distance= Here (x1, y1) and (x2, y2) are two places. We need to find the distance the two places Distance= Distance= Distance= Distance= 2.82 units
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Thank You
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