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The equation of a circle is $x^2 + y^2 = 42.25$ Find the radius of the circle. - Edexcel - GCSE Maths - Question 16 - 2018 - Paper 2

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The-equation-of-a-circle-is-$x^2-+-y^2-=-42.25$--Find-the-radius-of-the-circle.-Edexcel-GCSE Maths-Question 16-2018-Paper 2.png

The equation of a circle is $x^2 + y^2 = 42.25$ Find the radius of the circle.

Worked Solution & Example Answer:The equation of a circle is $x^2 + y^2 = 42.25$ Find the radius of the circle. - Edexcel - GCSE Maths - Question 16 - 2018 - Paper 2

Step 1

Find the radius of the circle.

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Answer

The standard form of the equation of a circle is given by:

x2+y2=r2x^2 + y^2 = r^2

where rr is the radius. From the equation provided, we see that:

r2=42.25r^2 = 42.25

To find the radius, we take the square root of both sides:

r = rac{1}{2} \sqrt{169}
Thus, the radius of the circle can be calculated as:

r=42.256.5r = \sqrt{42.25} \approx 6.5

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