Inscribed and circumscribed polygons
Answers are for parents and teachers.
1
Consecutive sides of a circumscribed quadrilateral are 8, 5 and 10. What is the fourth side?
13
2
In a quadrilateral inscribed in a circle, ∠B = 74°. What is ∠D (degrees)?
106
3
What is the incircle radius of a right triangle with legs 9 and 12 (hypotenuse 15)?
3
4
Find the incircle radius of a circumscribed polygon with area 90 and perimeter 36.
5
5
Why can a circle always be circumscribed about an isosceles trapezoid?
Its opposite angles add up to 180°: a base angle and the opposite angle are supplementary.