From the figure given belowFind the probability of the dart hitting th

1.	From the figure given belowFind the probability of the dart hitting the board in the circular region B.
Answer» Area of innermost ‘C’ circle = πr² = π x 1² = π sq. units. Area of the middle ‘B’ circle = π (2² – 1²) = π (4 – 1) = 3π sq. units. Area of the outermost ’A’ circle = π (3² – 2²) = π (9 – 4) = 5π sq. units. Probability of hitting the circle B = \(\frac {favourables\, area}{Total\,area}\) = \(\frac {3\pi}{\pi + 3\pi + 5\pi} = \frac 39 = \frac 13\)

From the figure given belowFind the probability of the dart hitting the board in the circular region B.

Answer»

Area of innermost ‘C’ circle = πr²

= π x 1² = π sq. units.

Area of the middle ‘B’ circle

= π (2² – 1²) = π (4 – 1) = 3π sq. units.

Area of the outermost ’A’ circle

= π (3² – 2²) = π (9 – 4) = 5π sq. units.

Probability of hitting the circle B

= \(\frac {favourables\, area}{Total\,area}\)

= \(\frac {3\pi}{\pi + 3\pi + 5\pi} = \frac 39 = \frac 13\)

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From the figure given belowFind the probability of the dart hitting the board in the circular region B.

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