Question

Help me on this question please

Answer 1

Answer:

Step-by-step explanation:

The diameter equals the side length of the outer square. The radius of the circle is √2. The diameter of the circle would be

2 × radius = 2 × √2 = 2√2

The area of a square is expressed as length^2. This means that the area of the outer square would be

( 2√2)^2 = 4×2 = 8

The area of the circle is expressed as πr^2. Therefore, the area of the circle would be

π×√2^2 = 2π = 2×3.14 = 6.28

Looking at the inner square, to find the length of the base, we would apply Pythagoras theorem.

√2^2 = base^2 + 1^2

2 = base^2 + 1

base^2 = 2 -1 = 1

base = √1

Area of the inner square would be

√1^2 = 1

Total shaded area would be

6.28 - 1 = 5.28

The probability that the dart will land on the shaded area is

5.28/8 = 0.66