We can work this out without a calculator. A chord of a circle is subtended by an angle of x degrees. The radius of the circle is 6√2. What is the area of the segment Made with angle x? We can work this out without a calculator. We can because we know about surds. Diagram not drawn to scale!!

Use surds and do not evaluate your answer. A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are the radii of the circle. The radius of the circle is 6 √ 2. What is the area of the triangle? Use surds and do not evaluate your answer.

(6 √ 2) x (6 √ 2)  2 = Area Now you can evaluate (36 x 2)  2 = 36 A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are the radii of the circle. The radius of the circle is 6 √ 2. What is the area of the triangle? (6 √ 2) x (6 √ 2)  2 = Area (36 x 2)  2 = 36 Now you can evaluate

Find Area of circle using surds and keep your answer in terms of π A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are the radii of the circle. The radius of the circle is 6 √ 2. What is the area of the segment? Hint! Find Area of circle using surds and keep your answer in terms of π

Area = rxrxπ A = 6 √ 2 x 6 √ 2 π A = 36 x 2 π = 72π A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are the radii of the circle. The radius of the circle is 6 √ 2. What is the area of the circle ? Area = rxrxπ A = 6 √ 2 x 6 √ 2 π A = 36 x 2 π = 72π

Area of C = 72π Segment = x72 π Segment = 18 π A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are the radii of the circle. The radius of the circle is 6 √ 2. What is the area of the segment? Area of C = 72π Segment = x72 π Segment = 18 π

Remember A = 72 π Diagram not drawn to scale!! A chord of a circle is the side of an equilateral triangle and equal to the radius of the circle. The radius of the circle is 6 √ 2. What is the area of the segment? Remember A = 72 π Diagram not drawn to scale!!

A = 72 π Segment = x72 π Segment = 12 π Diagram not drawn to scale!! A chord of a circle is the side of an equilateral triangle and equal to the radius of the circle. The radius of the circle is 6 √ 2. What is the area of the segment? A = 72 π Segment = x72 π Segment = 12 π Diagram not drawn to scale!!

Remember A = 72 π Diagram not drawn to scale!! A chord of a circle is subtended by an angle of x degrees. The radius of the circle is 6 √ 2. What is the area of the segment made with angle x? Remember A = 72 π Diagram not drawn to scale!!

A = 72 π segment = x/360 X 72 π Segment = x/5 X π Segment = x π/5 A chord of a circle is subtended by an angle of x degrees. The radius of the circle is 6 √ 2. What is the area of the segment? A = 72 π segment = x/360 X 72 π Segment = x/5 X π Segment = x π/5 Diagram not drawn to scale!!

Note Sometimes it is actually easier to work with surds! Do not be in a rush to evaluate π