I can mark brainliest! :) A pizza was cut into 8 equal pieces, Juan ate 3 of the slices. It the diameter of the pizza is 12 inch

Question

I can mark brainliest! 🙂

A pizza was cut into 8 equal pieces, Juan ate 3 of the slices. It the diameter of the pizza is 12 inches, what is the
area of the pizza that Juan ate? Find the answer to the nearest tenth.

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Maris 5 years 2021-08-30T17:19:19+00:00 2 Answers 23 views 0

Answers ( )

  1. Gerda
    0
    2021-08-30T17:20:55+00:00
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    Answer:

    A = 34.5 inches

    Step-by-step explanation:

    First find the total measure of the pieces he ate. (You can do this by drawing a circle, dividing in 8 pieces and shading three). The total angle measure is 135°. Then divide 135 by 3 to find the angle measure of each eaten pizza slice. 135/3 = 45. To find the area you must have two side measures for each triangle. If we assume that from the center to any point on the circle is the same distance as the radius, then we know that each triangle now has to sides with a measure of 6 inches. From this you can calculate that each triangle has an area of about 11.5 inches (I used an online calculator FYI) Take 11.5 + 11.5 + 11.5 to find the total area. Or 34.5 inches.

    If that’s not right, I don’t know what is.

  2. vankhanh
    0
    2021-08-30T17:21:12+00:00
    Reply

    Answer:

    42.4

    Step-by-step explanation:

    A = πr^2 = π·6^2 ≈ 113.09734

    113.1 is the overall area of the pizza, now you must divide the area by 8 because there are 8 slices.

    113.1/8 = 14.14

    14.14 is the area of each slice so multiply that by 3 because thats the amount of slices juan ate.

    14.14·3 = 42.4

    *The answer should be roughly 42.4, i rounded the answers in each step so if your quiz/exam has multiple choice it may not be this exact number but just about the same.*

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