An equilateral triangle of side 28 cm is inscribed in a circle of diameter 32cm, as shown below What is the area of the shaded region ? (Use x=3.14 and V3=1.73) a) 75.68cm b) 125.68cm c 411.84cm d) 464.76cm?
Answers
Given : An equilateral triangle of side 28 cm is inscribed in a circle of diameter 32cm,
π = 3.14
√3 = 1.73
To Find : area of the shaded region
Solution:
Area of a circle = πr²
r = radius = Diameter/2 = 32/2 = 16 cm
Area of the circle = 3.14 * (16)²
= 803.84 cm²
Area of Equilateral Triangle = (√3 / 4) Side²
= (1.73 / 4)28²
= 339.08 cm²
Area of the shaded region = Area of the circle - Area of the Equilateral Triangle
= 803.84 - 339.08 cm²
= 464.76 cm²
Correct option d) 464.76 cm²
Note : Side of an equilateral triangle in circle with radius r is always r√3
Hence side length must have been 16√3 ≈ 27.7 cm
Learn More:
What is the area of the shaded portion of the circle? (5π – 11.6) ft2 ...
brainly.in/question/10536310
find the area of the shaded region in the following figure - Brainly.in
brainly.in/question/8104770
Abcd is a square with side 2√2 cm and inscribed in a circle find the ...
brainly.in/question/8916178
