On a circular table cover of radius 42cm, a design is formed by a girl leaving an equilateral triangle ABC in the middle. Find the covered area of the design
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50
then,
BC = 72.66 cm
now,
area of equilateral triangle = √3/4 × a²
= √3/4 × (72.66)²
= √3/4 × 5279.4756
=√3 × 1319.8689
= 1.73 × 1319.8689 cm²
= 2283.373197 cm²
= 2283 cm² {approx}
Hence, the area covered design is 2283 cm².
BC = 72.66 cm
now,
area of equilateral triangle = √3/4 × a²
= √3/4 × (72.66)²
= √3/4 × 5279.4756
=√3 × 1319.8689
= 1.73 × 1319.8689 cm²
= 2283.373197 cm²
= 2283 cm² {approx}
Hence, the area covered design is 2283 cm².
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5
Answer:
Area of the covered region is 3255.21cm²
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