2. The area of a circle is given by the expression-
(Tux + 10x + 251)
Find the radius of the circle.
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Answer:
Area = πr²
Find r:
Given that area = πx²+10πx+25π
πr² = πx²+10πx+25π
Take out common factor π:
πr² = π(x²+10x+25)
Divide by π on both sides:
r² = x²+10x+25
Factorise the right hand side:
r² = (x + 5)²
Square root both sides:
r = x + 5
Answer: r = x + 5
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