Estimate the area of the top of a round pizza that has a diameter of 16 inches.

Mathematics

2 answers:

notsponge [240]3 years ago

4 0

the are would be 64 inches pi or approximately 200.96 inches squared

Hope this helps!

kakasveta [241]3 years ago

4 0

Pizza with a diameter of 16 inches.

Find the Area of the top of a round pizza.

The top of a round pizza is still a circle. The formula of finding the area of a circle is multiplying pi to the radius of the circle, which is raised to the 2nd power.

Area of a circle = π r²

π is equivalent to 3.14 ; radius is 1/2 of the diameter.

radius = diameter/2 = 16 inches / 2 = 8 inches

Area of a circle = 3.14 * (8in)²
= 3.14 * 64 in²
<span>Area of a circle = 200.96 in²
</span><span>200.96 in² rounded to the nearest tenth is 201.0 in²</span>

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Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: $s=\pi r\sqrt{r^2+h^2}$

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$s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416$