The inscribed and circumscribed circle
Answers are for parents and teachers.
1
The distances from the vertices to the points of tangency are 3, 8 and 10. What is the perimeter?
42
2
In a circumscribed quadrilateral AB = 12 and CD = 16. What is BC + AD?
28
3
In an inscribed quadrilateral ∠B = 123°. How many degrees is ∠D?
57
4
The hypotenuse of a right triangle is 26. What is the radius of its circumcircle?
13
5
Write where the centres of the incircle and the circumcircle of a triangle lie.
The incircle’s centre is where the angle bisectors meet; the circumcircle’s centre is where the perpendicular bisectors of the sides meet.