Given that AB is a line segment and the angle a = 75°, work out the value of x.
1 answer:
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Answer:
31/40
Step-by-step explanation:
The question is incomplete. Here is the complete question with appropriate diagram.
The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.
What is the probability that a point chosen at random is in the blue region?
Given the area of the circle to be 314cm², we need to get the diameter of the circle first since the diameter of the circle is equivalent to length of the side of the square inscribed in it.
Using the formula Area of a circle = πr²
314 = 3.14r²
r² = 314/3.14
r² = 100
r = 10 cm
Diameter of the circle = 2*10 = 20 cm
Area of a square = Length * length
Area of the outer square = 20*20 = 400cm²
Area of the inner square with side length 2cm = 2*2 =4cm²
Area of the shaded region = Area of the square - Area of the inner square
= 314-4 = 310cm²
The probability that a point chosen at random is in the blue region = Area of the shaded region/total area of the outer square
= 310/400
= 31/40
Question:
What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the values of radius and central angle are not given.
However, I'll answer the question using the attached figure.
From the attached figure, the radius is 3 unit and the central angle is 120 degrees
The area of a sector is calculated as thus;
Where represents the central angle and r represents the radius
By substituting and r = 3
becomes
square units
Solving further to leave answer as a decimal; we have to substitute 3.14 for
So, becomes
square units
Hence, the area of the sector in the attached figure is or 9.42 square units
