The formula for finding the area of a circle can be written in many ways. If the radius is given, the formula is A=πr², where A=area, π=22/7 or 3.14, and r is the radius.
If the diameter is given, then the formula is A=1/4πd², where A is the area, π is 22/7 or 3.14 and d is the diameter
Given that the diameter is 46 inches and π=22/7 or approximately 3.14, the formula we can use is A=1/4πd² where A=area, π is 22/7 and d is 46
A=1/4*22/7*46*46
A=16662.57 inches² (It is rounded to nearest hundredth)
By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.
Therefore the area of the isosceles triangle is
6•4/2=12
However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by
6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2
Answer:
x=2
Step-by-step explanation:
4 (x + 6) - 3x = 26
solve the parenthesis
4x + 24 - 3x = 26
subtract 24 from both sides to get x by itself
4x - 3x = 2
solve
x = 2
