Question

If a circle with a diameter 20cm is placed inside square with a length 20cm, what is the chance that a dart thrown will land the circle.

Answer 1

Answer:

78.5%

Step-by-step explanation:

Area of circle=314sq cm

Area of square=400 sq cm

314*100/400= 78.5%

Answer 2

Answer:

probability of the dart landing in the circle = 0.78  

Given:

If a circle with a diameter of 20cm is placed inside a square with a length of 20cm

To find:

the chance that a dart thrown will land in the circle

Solution:

the chance that a dart thrown will land in the circle would be equal to the area of the circle/ area of the square. so,

area of the suare= side²

so, area of the square = 20² = 400 cm²

now,

area of the circle = πr²

r = diameter/ 2 = 10 cm

so,

area of the circle = 22/ 7 x 10 x 10

area of the circle = 2200/7

area of the circle = 314.28 cm²

probability of the dart landing in the circle = 314. 28/ 400

probability of the dart landing in the circle = 0.78 (approx )

Hence, 0.78 is the correct answer.

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