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A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded square region. The radius of the dartboard is 5in, and each side of the shaded region is 3in.
Use the value 3.14 for π.
Round your answer to the nearest hundredth.
I did and I still don't understand can you explain?
A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded square region. The radius of the dartboard is 6in, and each side of the shaded region is 2in.
Use the value 3.14 for π. Round your answer to the nearest hundredth.
What units do you use or do you not use any?
A dart hits the small circular target shown below at a random point. Find the probability that the dart lands in the shaded square region. The radius of the target is 9 cm , and each side of the shaded region is 3 cm.
To find the probability that the dart lands in the shaded square region, we need to calculate the area of the shaded square and divide it by the total area of the dartboard.
Step 1: Calculate the area of the shaded square:
The side length of the shaded square is given as 3 inches. To find the area of a square, you square the length of one of its sides. So, the area of the shaded square is 3 inches squared, which is 9 square inches.
Step 2: Calculate the total area of the dartboard:
The dartboard is a circle with a radius of 5 inches. The formula for the area of a circle is πr^2, where π is approximately 3.14 and r is the radius. So, the area of the dartboard is 3.14 x 5 inches squared, which is 3.14 x 25 square inches, equal to 78.5 square inches.
Step 3: Calculate the probability:
To find the probability, we divide the area of the shaded square by the total area of the dartboard. So, the probability is 9 square inches divided by 78.5 square inches.
Calculating this division gives us a decimal value. Rounding this decimal value to the nearest hundredth will give us the final answer, which represents the probability that the dart lands in the shaded square region.
the board area is ... π * 5^2
the square area is ... 3^2
the probability of landing in the square is
... "square area" / "board area"