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IrinaK [193]
3 years ago
11

Can help me complete this problem please :c

Biology
1 answer:
ziro4ka [17]3 years ago
4 0
<h3>Answer</h3>

29.2°

<h3>Explanation</h3>

Given in the question,

radius of circle = 4 m

area of sector  = 5π m²

The area of a sector of a circle is

<h3>½ r² ∅</h3>

<em>where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle.</em>

<em />

<h3>area of a sector = ½ r² ∅</h3>

5π = ½ r² ∅

5π * 2 = r² ∅

10π = r² ∅

10π = 4² ∅

10π = 16∅

∅ = 16 / 10π

∅ = 8/5π in radians

<h3>Converting rad to degree</h3>

π = 180°

1rad = 180/π

8/5π rad = 8/5π * 180/π

            = 8/5π × 180/π

            = 29.2°

<em />

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