2 answers:
Answer:
150π ft² 10π ft. Step-by-step explanation:
Area of the sector :
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Answer:
1 . 150π ft²
2 . 10π ft²
<u>Step-by-step explanation: </u>
<em>H</em> <em>ello </em> <em>there</em> <em>!</em>
<em>Here</em> <em> is</em> <em> </em> <em>how </em> <em>we </em> <em>solve </em> <em>the</em> <em> </em> <em>given</em> <em> </em> <em>problem</em> <em>:</em>
Area of the sector of a circle refers to the fractional circle area. Which is given by; (∆ ° /360°) × πr² . Where ∆° is the angle subtended by the arc. the arc length also refers to the length swept by the arc with angle theta (∆°) - subtended. Given by L = ∆ ° / 3 6 0 ° × 2 π r
From our problem,
∆ = 6 0 ° , r = 3 0 f t
Lets substitute the values
1 . A = (∆°/360°) × πr²
= 60°/360° × π × 30²
= 1 5 0 π ft²
2 . L = ∆°/360° × 2πr
= (60/360) × 2 × 30 × π
= 10π ft²
NOTE:
Use the formulas given below to be on a save side;
A = (∆°/360°) × πr² L = ∆°/360° × 2πr.
<em>I </em> <em>hope</em> <em> </em> <em>this </em> <em>helps.</em> <em> </em>
<em>Have</em> <em> </em> <em>a </em> <em>nice </em> <em>studies</em> <em>.</em> <em> </em> : )
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