# GEOMETRY

In a arcade game, the "monster" is the shaded sector of a circle of radius 3 cm, as shown in the figure. The missing piece (the mouth) has a central angle of 60 degrees. What is the area of the monster in cm^2

1. 👍 0
2. 👎 0
3. 👁 296
1. since 60 is 1/6 of 360, the mouth is 1/6 of the circle.

You now have just 5/6 of the circle.

I'm sure you know how to find the area of 5/6 of a circle, no?

1. 👍 0
2. 👎 0

## Similar Questions

1. ### maths

calculate the area of a sector of a circle which subtends an angle of 45° at the centre of the circle, radius 14cm

2. ### Math

A quarter-circle with radius \$5\$ is drawn. A circle is drawn inside the sector, which is tangent to the sides of the sector, as shown. Find the radius of the inscribed circle. The rest is in asymptote size( 100 ) ; // Not to

3. ### math

if asphalt costs \$0.78 per square foot, determine, to the nearest cent, the cost of paving the shaded circular road with center O, an outside radius of 50 feet, and an inner radius of 36 feet. (the big circle is shaded)

4. ### Mathematics

A sector of a circle of radius 7cm subtends angle 270° at the centre. Calculate a. Length of arc b. Area of sector c. Perimeter of sector

1. ### solid mensuration

circle c has radius of 10 cm. each of the points B and D is on yhe midpoint of the radius. find the shaded area.

2. ### Mathematics

A sector of a circle of radius 8cm is bent to form a cone.find the radius of the cone and its vertical angle if the angle subtended at the centre by the sector is 280

3. ### geometry

FIND THE LENGTH OF THE RADIUS OF THE CIRCLE IS 9cm. THE ARC OF THE SECTOR MEASURES 60 DEGREES. FIND THE AREA OF THE SECTOR.

4. ### geometry

11. Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced

1. ### maths

A sector of a circle of a radius 6cm subrends angle of 105 at the centre of a circle.calculate the perimeter of the sector and the area of the sector?

2. ### math

area of a sector of a circle of radius 36 cm is 54 pie cm square . find the length of the corresponding arc of the sector

3. ### Maths

A sector of a circle of radius 8cm is bent to form a cone. Find the radius of the cone and it's vertical angle if the angle substended at the centre by the sector is 280°

4. ### Math

One medium circle and one small circle touch each other, and each circle touches the larger circle. The figure shows two circles of different radius inscribed in a larger circle. The two circles are drawn such that both touch the