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Find the area of the regular polygon. Round to the nearest tenth.

Find the area of the regular polygon. Round to the nearest tenth.-example-1
User Menaka
by
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1 Answer

1 vote

Answer:

3462.8 squared unit

Explanation:

Applying,

A = nh²tan(360/n)......... equation 1

Where A = area of the regular polygon, n = number of sides of the polygon, h = length of the apothem.

From the question,

Give; n = 5 sides, h = 15

Substitute these values into equation 1

A = 5×15²×tan(360/5)

A = 1125×tan72

A = 1125×3.078

A = 3462.75

A = 3462.8 squared unit

User Daniel Nalbach
by
6.0k points