Sector of Circle

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

• 161.97 mm²

• What's Pacman?

• 39.1 mm²

• 9.77 mm²

Suppose an arc has a length of 100 miles and an arc measure of 240°. What would be the radius of the circle?

• 47.746 miles

• 150 miles

• 23.873 miles

• 10 miles

What is the correct area for the shaded sector of this circle?

• 18π

• 25π/3

• 725π/9

What is the correct area for the shaded sector of this circle?

• 18π

• 725π/9

• 25π/3

What is the correct length of the arch defined by the shaded sector of this circle?

• 3π

• 10π/3

• 145π/9

What is the correct length of the arch defined by the shaded sector of this circle?

• 3π

• 10π/3

• 145π/9

What is the correct length of the arch defined by the shaded sector of this circle?

• 3π

• 10π/3

• 145π/9

If a circle is sliced into 10 congruent slices what is the central angle for each slice?

• 45°

• 55°

• 36°

• 33°

Answer explanation

Since a full rotation of a circle is 360° we can divide it by 10 to get 36° for each central angle.

How confident do you feel on finding the area and arch lengths of sector?

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Find the area of the sector, rounding your answer to one decimal place.

• 67.1cm²

• 67.0cm²

• 16.8cm²

• 134.0cm²