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A round archery target of diameter 1 m is marked with four scoring regions from the centre outwards as red, blue, yellow and white. The radius of the red band is 0.20 m. The width of all the remaining bands is equal. If archers throw arrows towards the target, what is the probability that the arrows fall in the red region of the archery target?

A round archery target of diameter 1 m is marked with four scoring regions from the centre outwards as red, blue, yellow and white. The radius of the red band is 0.20 m. The width of all the remaining bands is equal. If archers throw arrows towards the target, what is the probability that the arrows fall in the red region of the archery target? Correct Answer 0.16

Given 

Diameter of archery target = 1m 

Radius of red Band = .2 m 

Formula Used 

Area of circle = πR2 

Probability = Possible outcome/total outcomes

Calculation 

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⇒ Area of red circle = π(.2)2 = .04π 

⇒ Radius of Archery band = 1/2 = .5 m 

⇒ Probability  arrows fall in the red region of the archery target = Area of red region/ Total area 

⇒ .04 π/(0.5)2π  = .16 

∴ Probability  arrows fall in the red region of the archery target is .16 

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