Question

Lindsey bought a new candle and the base of the candle covers an area of 19.625 square inches. She plans on putting the candle into a bowl with a radius of 2 inches but isn’t sure that is will fit. She calculates the radius of the candle to be 1.5 inches and thinks it will fit, but her friend Amy says the radius is 2.5 inches and that it is too large for the bowl. Who is correct and will the candle fit in the bowl?

The radius of the candle is __________ and

Select a Value
the candle _______ fit in the bowl.

Select a Value
____________ is correct.

Select a Value

Answer 1

Circles

The radius of candle is 2.5 in and the candle will not fit in the bowl

Explanation:

The area of the base of the candle = 19.625

Area of circle A =
`\pi r^(2)` where r is the radius of the base of the circle

and
`\pi` is constant with the value 3.14

Given that A = 19.625

So, putting the value of the parameters in the equation

⇒ 19.625 = 3.14 × r²

⇒ r² =
`(19.625)/(3.14)` = 6.25

⇒ r =
`√(6.25)` inch

⇒ r = 2.5 inch

Hence, the radius of candle is 2.5 in and the candle will not fit in the bowl