The area of a regular hexagonal plot of landinscribed in a circular track of radius r is 720m square.find the radius of the track.
Answers
Answer:
the radius of the circular swimming tank = 7 m if Difference between the area of a regular hexagonal plot and the area of a circular swimming tank circumscribed in it is 26.705 m²
Step-by-step explanation:
Let say Side of hexagonal = a
and O is the center
the In Hexagonal Distance of vertex from center = side of Haxagon = a
Area of Hexagon = 6 * ( Area of Equilateral Triangle with side = a)
= 6 * (√3 / 4 )a²
= 3√3a²/2
Radius of circumscribed circle = a
Area of Circle = πr² = πa²
πa² - 3√3a²/2 = 26.705
=> a²(π - 3√3/2) = 26.705
=> a² = 49
=> a = 7
the radius of the circular swimming tank. = 7 m
A regular hexagon is inscribed in a circle. If the area of the hexagon is 24root3 cm2 find the area of the circle
brainly.in/question/1027794
Answer:
The radius of the track is 15.135 m.
Step-by-step explanation:
Given, Area = 720 m
Area = 22/7 × r²
720 = 22/7 × r²
r² = 720 / 22/7 = 720 × 7 / 22 = 360 × 7 / 11
r² = 2520 / 11 => r = 15.135 (answer).
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