a semicircular portion of radius 7cm is cut out from a square paper of side 14 cm. the perimeter of remaining paper is?
a.28 cm
b. 50 cm
c. 22 cm
d. 42 cm
Answers
Step-by-step explanation:
28 cm is correct sister ...
The perimeter of the remaining paper is 64 cm if A semicircular portion of radius 7cm is cut out from a square paper of side 14cm
Given : A semicircular portion of radius 7cm is cut out from a square paper of side 14cm.
To Find : perimeter of the remaining paper
Solution:
Perimeter of Square = 4 * side
side = 14 cm
Hence Perimeter = 4 * 14 = 56 cm
A semicircular portion of radius 7cm is cut out
=> Diameter = 2 * radius = 2 * 7 = 14 cm
New perimeter = Perimeter of Square - Diameter + circumference of semicircle
Circumference of a circle = 2π(radius)
Circumference of a semi circle = (1/2) 2π(radius) = π * radius
radius = 7 cm
π = 22/7 cm
Circumference of the semicircle = (22/7) * 7 = 22 cm
New perimeter = 56 - 14 + 22
= 64 cm
The perimeter of the remaining paper is 64 cm
None of the given options are correct
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