This holiday season, spark a lifelong love of learning. Gift Brilliant Premium
Geometry

Inscribed and Circumscribed Figures

Circumcircle of Triangle

         

In the above diagram, point OO is the circumcenter of ABC\triangle ABC and the lengths of AB\overline{AB} and BC\overline{BC} are the same, i.e. AB=BC.\lvert \overline{AB} \rvert=\lvert \overline{BC} \rvert. If OAB(=a)\angle OAB(=a) is 15,15^{\circ}, what is OAC(=x)\angle OAC(=x)?

In the above diagram, point OO is the circumcenter of ABC\triangle ABC and point OO' is the circumcenter of AOC.\triangle AOC. If ABO=28,\angle ABO = 28^{\circ}, what is the value of OOC\angle OO'C in degrees?

Note: The above diagram is not drawn to scale.

In the above diagram, point OO is the circumcenter of ABC.\triangle ABC. The length of AF\overline{AF} is 10(=a)10(=a) and the length of OF\overline{OF} is 3(=b).3(=b). If the area of ABC\triangle ABC is 116,116, what is the area of CDOE? CDOE?

Note: The above diagram is not drawn to scale.

In the above diagram, point OO is the circumcenter of ABC\triangle ABC and ABC\angle ABC is 15.15^{\circ}. If the radius of the circumscribed circle is 16,16, what is the area of ABC?\triangle ABC?

Note: The above diagram is not drawn to scale.

In the above diagram, point OO is the circumcenter of ABC.\triangle ABC. The length of AF\overline{AF} is 6(=a)6(=a) and the length of OF\overline{OF} is 5(=b).5(=b). If the area of ABC\triangle ABC is 98,98, what is the area of CDOE? CDOE?

Note: The above diagram is not drawn to scale.

×

Problem Loading...

Note Loading...

Set Loading...