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Firdavs [7]
3 years ago
9

Will Mark brainiest!!!!

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

<em>1. 1.55π,</em>

<em>2. 16π,</em>

<em>3. 2.45π,</em>

<em>4. ( About ) 5.56π,</em>

<em>5. 13.7π</em>

<em>6. ( About ) 1.78π</em>

Step-by-step explanation:

1. Let us keep the answer in terms of π, for the simplicity;

Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

62 / 360 = Area of sector / 9π,

62 * ( 9π ) = 360 * Area of sector,

558π = 360 * Area of sector,

<em>Area of sector; 1.55π</em>

2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,

Area of sector ⇒ 1 / 4 * 64π = 16π,

<em>Area of sector; 16π</em>

3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

98 / 360 = Area of sector / 9π,

98 * ( 9π ) = 360 * Area of sector,

882π = 360 * Area of sector,

<em>Area of sector; 2.45π</em>

4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

125 / 360 = Area of sector / 16π,

125 * ( 16π ) = 360 * Area of sector,

2000π = 360 * Area of sector,

<em>Area of sector; ( About ) 5.56π</em>

5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

137 / 360 = Area of sector / 36π,

137 * ( 36π ) = 360 * Area of sector,

4932π = 360 * Area of sector,

<em>Area of sector; 13.7π</em>

6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

160 / 360 = Area of sector / 4π,

160 * ( 4π ) = 360 * Area of sector,

640π = 360 * Area of sector,

<em>Area of sector; ( About ) 1.78π</em>

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