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.
please help me :(

Answer 1

Answer:

1/2 is the answer

Step-by-step explanation:

as the dart can either land in the circle or the square (2 events) the probability will be 1 out of 2

Answer 2

The chance that a dart thrown will land in the circle is 79%.

Given,

Diameter of the circle = 20 cm

The side length of the square = 20 cm

The circle is placed inside the square

To Find,

The chance that a dart thrown will land in the circle.

Solution,

To get the probability that a dart thrown will land in the circle, we need to find the sample space and targeted area.

Probability = $\frac{Targeted Area}{Sample space}$

The sample space here would be the area of the square.

The targeted area would be the area of the circle.

Sample space = Area of the square

Sample space = (Side length)²

Sample space = (20 cm)²

Sample space = 400 cm²

Targeted Area = Area of the circle

Targeted Area = π ($\frac{d}{2}$)²             (where d is the diameter of the circle)

Targeted Area = π ($\frac{d^2}{4}$)

Targeted Area = π ($\frac{20^2}{4}$)

Targeted Area = π ($\frac{400}{4}$)

Targeted Area = 100π cm²

Targeted Area ≈ 314.15 cm²

Probability = $\frac{314.15}{400}$

Probability ≈ 0.79

Chance = Probability x 100%

Chance = 0.79 x 100%

Chance = 79%

Thus, the chance is 79%.

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