The legs of a right triangle measure 8 feet and 15 feet. What is the length of the hypotenuse?
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Answer:
Area of Circle A = 1133.54
Circumference of Circle A= 119.32
Step-by-step explanation:
Given: Sum of both circle diameters= 49 feet.
Circle A radius= Three feet less than twice the diameter of circle B.
Lets assume diameter of Circle B is "x"
∴ Circle A radius (r)=
We know, the diameter of circle is
Diameter of Circle A is
Next as given sum of both circle diameter is 49 feet.
∴
distributing 2 with 2x and -3
⇒
⇒
Adding both side by 6
⇒
Cross multiplying both side.
⇒
∴ Diameter of circle B is 11 feet.
Next, subtituting the value of x to get the value of radius for Circle A.
Radius of circle A=
⇒ Radius of circle A=
∴ Radius of circle A= 19 feet.
Area of circle=
Taking π= 3.14
Area of circle A=
∴ Area of circle A= 1133.54
Circumference of circle= 2πr
Circumference of Circle A=
∴ Circumference of Circle A= 119.32
RO divides the rectangle into two congruent right triangles.
The area of the one triangle is equal half area of the rectangle.
Calculate the area of rectangle:
The area of right triangle:
Use the Pythagorean theorem to calculate the length of RO:
The formula of an area of this right triangle is:
Therefore we have the equation: