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Maurinko [17]
2 years ago
14

Help anyone can help me do the question,I will mark brainlest.​

Mathematics
1 answer:
Marrrta [24]2 years ago
5 0

Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

<h3>Answer:  150 degrees</h3>

==============================================================

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

<h3>Answer:  2310 square mm</h3>

==============================================================

Side note: Both answers are approximate because pi = 22/7 is approximate.

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(See the graph attached)

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