GCSE 995381 IGCSE PASTE
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SCALE
Past Papers
8 cm
30°
A
OAB is the sector of a circle, centre 0, with radius 8 cm and sector angle 30°.
BC is perpendicular to OA.
Calculate the area of the region shaded on the diagram.

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle =

We know that,

And

Area of sector =

Area of sector =  

                        = 16.75 cm^2

Area of triangle =

                          = 13.85 cm^2

Area of shaded region = 16.75 - 13.85

                                      =

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

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