Question

1. area rug a circular area rug has a radius of 2.5 feet. how much area does the rug cover? (the area of a circle is a = πr² where π ≈ 3.14 and r is the radius.) 29. cylindrical can a can has a radius of 2.1 inches and a height of 7 inches. what is the volume of the can? (the volume of a cylinder is v = πr²h where π ≈ 3.14, r is the radius, and h is the height.)

Explanation:

Step1: Identify the formula for circle area

$A = \pi r^{2}$

Step2: Substitute the given radius value

$r = 2.5$ feet, $\pi\approx3.14$, so $A=3.14\times(2.5)^{2}$

Step3: Calculate the square of the radius

$(2.5)^{2}=2.5\times2.5 = 6.25$

Step4: Multiply by $\pi$

$A = 3.14\times6.25=19.625$ square - feet

for second - part:

Step1: Identify the formula for cylinder volume

$V=\pi r^{2}h$

Step2: Substitute the given values

$r = 2.1$ inches, $h = 7$ inches, $\pi\approx3.14$, so $V=3.14\times(2.1)^{2}\times7$

Step3: Calculate the square of the radius

$(2.1)^{2}=2.1\times2.1 = 4.41$

Step4: Multiply by height and $\pi$

$V=3.14\times4.41\times7=3.14\times30.87 = 96.9318$ cubic inches

Answer:

$19.625$ square feet