Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB =
---------------------------------------
Using the cosine ratio in right triangle DBC
cos p = =
=
, thus
p = (
) ≈ 59°
Answer:
78.5%
Step-by-step explanation:
The area of the square is equal to diameter squared
i.e 4 in × 4 in = 16 square inches
The area of the circle is π × r²
i.e π × 2² = 12.56637061
The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100
i.e × 100 = 78.53981631%
And is equal to 78.5% (rounded up to the nearest tenth of a percent)
