In the following figure ABCD is a rectangle the area of which is 16 mm × 8 mm. If triangle is equilateral and radius of the circle is 1 mm. Then find the perimeter of the figure given.?

87.87 mm
72.84 mm
86.84 mm
74.84 mm

LohaHridoy

7 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 72.84 mm

Given

ABCD is a rectangle

Radius = 1 mm

Formula:

Perimeter of a circle = 2πr

Where r = radius of circle (given r = 1 mm)

side of triangle = 16-2=14

Perimeter = 4 × (perimeter of three quarters of a circle) + (two sides of the equilateral triangle) + (length of each side after eliminating portions of circles)

⇒ 4 × 3/4(2πr) + {14 + 14} + {14+6+6}

Perimeter = 18.84 + (28) + (26) = 72.84 mm (given r = 1 mm)

7 views Answered 2022-09-04 04:29

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