Substitute the values of h, k, and r by the following values, we get: We know the standard equation of the circle: The general form of the equation is the expanded form of the standard equation. In the given figure, the center coordinates (h, k) are (0, 0) and the radius (r) is 4. Hence, the equation of the circle is (x+2) 2+(y-6) 2=25.Įxample 5: Write the equation of the circle given below. Hence, the coordinate of the center is (4, -5) and the radius of the circle is 9.Įxample 4: The radius of a circle is 25 cm and the center coordinate are (-2, 6). We have given that (y+5), so k must be negative. Now, we can plot the circle on the graph paper with radius r = 2 and center (0, 0).Įxample 3: Find out the radius and center of a circle from the given equation. So, first, we convert the equation in the standard form by dividing the equation by 2.Ĭompare the above equation with the standard form, we get: The above equation is not matching with the standard form. Now, we can plot the circle on the graph paper with radius r = 2 and center (2, 3).Įxample 2: Find out the radius and center of a circle from the given equation. Remember: If the minus sign is preceding the (h, k), (h, k) will be positive.Ĭompare the given equation with the standard form, we get: Let's see some examples based on the standard form.Įxample 1: Find out the radius and center of a circle from the given equation. Remember that the value of r is always positive. Where (h, k) is the coordinates of the center, and r is the radius of the circle.
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