Question

i) If the area of circular carboard is 49πX? + 70πX + 25π, what is the radius of this object?
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Answer 1

Answer:

Step-by-step explanation:

given that :

area of a circular cardboard is  49πx² + 70πx + 25π

we have to find the radius of the circular cardboard

we know that : radius of circle can be found from area as;

area = πr²

where r= radius of circular cardboard.

substitute value of area in above formula

49πx² + 70πx + 25π = πr²

take common 'π' from both sides of above equation and cancel it.

π(49x² + 70x + 25) = πr²

49x² + 70x + 25 = r²

factorize left side of above equation

(x + 5/7)(x + 5/7) = r²

(x + 5/7)² = r²

r = (x + 5/7)

radius of circular cardboard is '(x + 5/7)'