SOLUTION: a rectangle with dimensions of 5 x 8 is inscribed in a circle. what is the area and circuference of this circle?[ inscribed means inside the vertexs touching the edge of the circle

Question 38096: a rectangle with dimensions of 5 x 8 is inscribed in a circle. what is the area and circuference of this circle?[ inscribed means inside the vertexs touching the edge of the circle].
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rectangle with dimensions of 5 x 8 is inscribed in a circle. What is the area and circumference of this circle?
Draw the picture.
Draw a diagonal of the rectangle.
The diagonal is also the diameter of the circle.
Notice the right triangle with the diagonal as the hypotenuse.
Use Pythagoras to find the length of the diagonal/diameter.
diag^2=5^2+8^2=89
diag=sqrt(89)=9.434
Circumference of the circle = (pi)d = 9.434(pi)=29.64 units
Area of the circle = (pi)r^2 = (pi)4.717^2=69.90 sq. units
Cheers,
Stan H.

RELATED QUESTIONS
A rectangle with dimension 5 x 8 is inscribed in a circle. What are the area and... (answered by Paul)

What is the area of a square inscribed in a circle with a radius of 8? (answered by rfer)

A 6 x 8 rectangle is inscribed in a circle. What is the radius of the circle? Thank... (answered by lwsshak3)

A rectangle is inscribed inside the semi-circle y=square root of 100-x^2. what are the... (answered by Fombitz)

What is the area of a rectangle with length of 16 inscribed in a circle with a radius of... (answered by prateekagrawal)

A rectangle with dimension 5 by 8 is incribed in a circle. Wjat are the area and... (answered by fractalier)

A triangle with sides 3,4,5 is inscribed in a circle. What is the area of the... (answered by Alan3354)

show that the maximum area of a rectangle inscribed in a circle is a... (answered by MathLover1,karaoz,richard1234)

A circle is inscribed in a square, which is inscribed in an equilateral triangle... (answered by greenestamps)