Finding diagonal of inscribed rectangle

Ein Krieger · Jul 18, 2013

Homework Statement

A quadrant contains an inscribed rectangle ABCD. Given the distance marked: CD=3m , what is length of AD?

Area of circle = pi*r^2
Pythagorean 's theorem : a^2=b^2+c^2

We can draw diagonal from C to B similar to that from A to D. And that diagonal is equal to radius which is 10. Correct?

verty · Jul 18, 2013

Correct. Do you know the reason it is correct? I mean, what is the reason that CB = AD?

Ein Krieger · Jul 18, 2013

verty said:

Correct. Do you know the reason it is correct? I mean, what is the reason that CB = AD?

be cause it is a rule for all rectangles?

verty · Jul 18, 2013

Yes indeed. The diagonals of a rectangle are equal. A rhombus and parallelogram do not have equal diagonals, this is special to a rectangle.