Answer:
3π sq.feet
Step-by-step explanation:
Area of the square = L²
L is the length of the square
Given
Area of the square = 12 ft square
12 = L²
L = √12
L = 2√3 feet
Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;
Area of the circle = πd²/4
Area of the circle = π(2√3)²/4
Area of the circle = 12π/4
Area of the circle = 3π sq.feet
X=7/3
solution steps:
subtract 2 from both sides
subtract 2x from both sides
Why don't you first try to use the cosine law to solve for an angle and then make use of the sin law to solve for the remaining angles.
Cosine law
C^2 = A^2 + B^2 - 2AB(cos C)
Solve for cos C, and then take the inverse of the trig ratio to solve for the angle.
Then set up a proportion like you have done using the sin law and solve for another angle. Knowing the sum of all angles in a triangle add up to 180 degrees, we can easily solve for the remaining angle.
Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.
x=32 (final answer).
Take the square root of 10,000, which is 100.
