A wire is bent to form an equilateral triangle and it encloses an area of 2 A cm . If the same wire is bent to form a circle, then the area of the circle would be :
A cathode is the electrode from which a conventional current leaves a polarized electrical device. This definition can be recalled by using the mnemonic CCD for Cathode Current Departs. A conventional current describes the direction in which positive charges move
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Answer:
Question:-
A wire in the shape of an equilateral triangle encloses an area s sq. cm. If the same wire is bent to form circle, the area of the circle will be
Solution:-
If the side of the triangle be a cm, then
[tex]S = \frac{a \sqrt[3]{3} }{4} \: or \: \frac{4S
}{3} .
[/tex]
and the perimeter of the triangle = 3a.
∴ Circumference of the circle = 3a.
∴ If r be the radius of the circle, 2πr = 3a.
[tex]∴ \: r = \frac{3a}{2\pi} .
[/tex]
∴ Area of the circle =πr².
[tex] = \pi \times \frac{9a {}^{2} }{4\pi {}^{2} } = \frac{9}{4\pi} \times \frac{4s}{ \sqrt{3} } = \frac{3 \sqrt{3s} }{\pi} .[/tex]
Step-by-step explanation:
A cathode is the electrode from which a conventional current leaves a polarized electrical device. This definition can be recalled by using the mnemonic CCD for Cathode Current Departs. A conventional current describes the direction in which positive charges move