Inscribed and Circumscribed Circle and Triangles

To draw a line around a figure (e.g. a circle around a triangle passing through each vertex of the triangle)

• Inscribed

• Tangent

• Circumscribed

• Circumference

The steps shown are a part of the construction of which figure?

• inscribed square

• circumscribed rectangle

• inscribed equilateral triangle

• regular hexagon

Name the construction pictured

• Inscribed circle about a nonagon

• Inscribed hexagon

• Inscribed circle about a triangle

• Circumscribed obtuse triangle

Name the pictured construction.

• Circled Hexagon

• Hexagon Inscribed in a Circle

• Square Inscribed in a Circle

• Triangle Inscribed in a Circle

Find the m<SQR.

• 42°

• 56°

• 40°

• 48°

Solve for x.

• 45.5

• 90.5

• 90

• 23

A, B, C and D are points on the circumference on a circle.Find the size of angle DAB.

• 118

• 62

• 85

Find the value of x in the image.

• 52⁰

• 68⁰

• 48⁰

• 72⁰

Answer explanation

The angle in a semicircle is right angle. ∠PRQ = 90⁰ Sum of interior angles in a triangle is 180⁰ ∠QPR + ∠PRQ + ∠PQR = 180⁰ x + 90 + 38 = 180⁰ x + 128 = 180⁰ x = 52⁰

Find the measure of the central angle.

Solve for x. (*Do NOT include " x = " in your answer*)