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Dovator [93]
3 years ago
14

Select the image below

Mathematics
1 answer:
Georgia [21]3 years ago
4 0

Pretend to (or actually) cut out the given image, stick a pin in point P so it cannot move, and rotate the cutout up and to the left around point P about 1/8 of the way around the circle. The result of doing that is the picture you're looking for.

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J > 25

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Find the common difference of the arithmetic sequence -6, -13, -20,...
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If 50 is 20% of a value, what is that value?​
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Step-by-step explanation:

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Mom baked a Dutch apple pie in a 9-inch pie pan. She cut the pie into 6 equal pies so that
Hatshy [7]

The area and arc length of each piece can be found using the

relationship between a circle and a sector of the circle.

Responses (b, c, and d are approximated):

a. 120°

b. 10.6 square inch

c. 28.3 in.

d. Area: 15.8 in.², Central angle: 89.1°

<h3>How can the pie pieces dimensions be evaluated?</h3>

Given:

Diameter of the pan, d = 9-inch

Number pie pieces cut from the apple pie = 6

The pie pieces are sectors of a circular pie.

a. The central angle of one pie pieces = \dfrac{360^{\circ}}{6} = 60°

Therefore;

  • The central angle of two pie pieces = 2 × 60° = <u>120°</u>

b. Area of circular pie = π·r²

Where;

r = \mathbf{\dfrac{d}{2}}

Therefore;

r = \dfrac{9}{2} = \mathbf{ 4.5}

The \ area \  covered  \ by \  each \  pie \  piece = \dfrac{\pi \times  4.5^2}{6} \approx  \mathbf{10.6}

  • The area covered by each pie piece is approximately <u>10.6 square inch</u>

c. The circumference of a circle = 2·π·r

The circumference of the original pie = 2 × π × 4.5 in. ≈ <u>28.3 in.</u>

d. Let the arc length of the pie piece = 7 inches

\mathbf{Area} \ of \ the \  \mathbf{pie \ piece}= \dfrac{7}{2 \cdot \pi \cdot 4.5}  \times \pi \times 4.5^2 =  \dfrac{7}{2 }  \times 4.5 = 15.75 \approx 15.8

  • The area of the pie piece is approximately <u>15.8 in.²</u>

<u />

<u />

<u />The \ central \ angle  \ of \ the \ pie \ piece = \dfrac{7}{2 \cdot \pi \cdot 4.5}  \times  360^{\circ} \approx \underline{ 89.1^{\circ}}

Learn more about circumference, area and sector of a circle here:

brainly.com/question/12985985

5 0
2 years ago
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