Answer:
Option 4. 256 - 64π is the correct option.
Step-by-step explanation:
In the given picture a square is circumscribed about a circle with a side = 2r
where r is the radius of the circle.
Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²
Now area of the circle = πr² = π × 8² = 64π in²
Now area of region that is inside the square and outside the circle =
Area of square - area of circle = (256 - 64π) in².
Therefore the answer is (256 - 64π).
Answer:
Height of the cliff = 13.66 m
Step-by-step explanation:
Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.
From right triangle AOC,
tan 30° =
y = ------(1)
From right angle triangle BOC,
tan 45° =
x = y - 10
y = x + 10 -------(2)
From equations (1) and (2),
x = 13.66 m
Therefore, height of the cliff is 13.66 m.