How to Find the Area of a Circle How to Find the Area of a Circle Circle is a geometrical round shape figure like a ring, tire etc. Circle includes many terms such as diameter, radius, area, circumference, and many more. In this session we are going to discuss How to Find the Area of a Circle. We basically use following steps to find out area of circle step 1 : Firstly we calculate radius of circle by applying the distance formula between center of circle and any point on circle like we have a point P(2,3) on circle and center O(0,0) of circle then we calculate distance between O and P by Formula for Distance OP = ?((x22 - x12) + (y22 -- y12)) = ?(32 -- 02 ) + (22 - 02) = ?9 + 4 = ?13 Know More About Addition Worksheets Math.Tutorvista.com
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So, radius OP = ?13 Step 2 : After calculation of radius, we will calculate area of circle by following formula Area of circle = ? * r2 where ? = 3.14 and r is the radius of circle. and when we apply this formula on above example Area = ? * (?13)2 => 3.14 * 13 = 40.82 Now we will take some examples to understand the procedure to find the area of circle example 1 : Find the area of circle which have center at O(1,2) and point P(4,5) on it? Solution: step 1 : First of all we calculate radius of circle by distance formula. OP = ?((x22 -- x12) + (y22 -- y12)) = ?((42 -- 12 ) + (52 - 22)) = ?((16 - 1) + (25 - 4)) = ?(15 + 21) = ?36 = 6 So, radius of circle = 6m Learn More :- Division Worksheets
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step 2 : Now we will calculate area of circle Area of circle = ? * r2 = ? * (6)2 = ? * 36 = 3.14 * 36 = 113.04 So, area of circle is 113.04 m2. Example 2 : Find the area of circle which have center at O(-3,-4) and point at P(5,7). Solution : step 1 : First of all we calculate radius of circle by distance formula OP = ?((x22 -- x12) + (y22 -- y12)) = ?((52 -- (-3)2 ) + (72 - (-4)2)) = ?((25 - 9) + (49 - 16)) = ?(16 + 33) = ?49 => 7 So, radius of circle = 7m
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