Arc Length and Sector Area | Mathematics

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Arc Length and Sector Area

9th grade

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Mathematics

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Slide 1
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Arc Length and Sector Area
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Slide 2
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Slide 3
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Slide 4
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ARC LENGTH
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Question 5
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Q.
In a circle, a 90° sector has area 64π in². What is the radius of the circle?
answer choices
16 in
32 in
64 in
128 in
16 in
alternatives
32 in
64 in
128 in
answer explanation
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Question 6
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Q.
If the length of the 45° region of this circle is $10\Pi$ inches, what is the radius of the circle?
answer choices
40 in.
$4\sqrt{5}$ in.
10 in.
20 in.
40 in.
alternatives
 <math><semantics><mrow><mn>4</mn><msqrt><mn>5</mn></msqrt></mrow><annotation encoding="application/x-tex">4\sqrt{5}</annotation></semantics></math>45<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> in.
10 in.
20 in.
answer explanation
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Question 7
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Q.
What is the area of the shaded region? Round to the nearest hundredth. (Hint: Area of a triangle is 1/2*b*h)
answer choices
78.53
314.16
28.54
58.54
78.53
alternatives
314.16
28.54
58.54
answer explanation
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Question 8
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Calculate the length of the bold arc.
answer choices
49.7 ft
15.8 ft
24.9 ft
3.14 ft
49.7 ft
alternatives
15.8 ft
24.9 ft
3.14 ft
answer explanation
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Question 9
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Q.
Calculate the area of the sector.
answer choices
4248 m²
7.9 m²
2827.4 m²
11.8 m²
4248 m2
alternatives
7.9 m2
2827.4 m2
11.8 m2
answer explanation
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Question 10
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Q.
Calculate the area of the sector.
answer choices
9.2 sq. in.
10.5 sq. in.
31.4 sq. in.
38.2 sq. in.
9.2 sq. in.
alternatives
10.5 sq. in.
31.4 sq. in.
38.2 sq. in.
answer explanation
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Question 11
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Q.
Calculate the length of the bold arc.
answer choices
5040 cm
43 cm
44 cm
14 cm
5040 cm
alternatives
43 cm
44 cm
14 cm
answer explanation
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