AREA RELATED TO CIRCLES

Area of a sector with central angle  $\theta$  is

• $\frac{\theta}{360}\times\pi r^2$

• $\frac{\theta}{360}\times2\pi r$

• $\frac{\theta}{360}\times\pi d$

What is the area of sector of a circle with central angle  $60\degree$  

•  $\pi r^2$  

•  $2\pi r$  

•  $\frac{\pi r^2}{6}$  

•  $\frac{\pi r^2}{2}$  

Tags

CCSS.HSG.C.B.5

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

• 49.2 cm²
• 45.6 cm²
• 50.24 cm²
• 55.9 cm²

Tags

CCSS.HSG.GMD.A.1

Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?

• 31.4 in²
• 314 in²
• 157 in²
• 628 in²

Tags

CCSS.7.G.B.4

If the sum of areas of two circles with radii R₁ and R₂ is equal to the area of the circle of radius R then 

• R₁ + R₂ = R
• (R₁)² + (R₂)² = R²
• R₁ + R₂ < R
• (R₁)² + (R₂)²  R²

The perimeters of the two circles are in the ratio 2 : 3.  The ratio of their areas is ___

• 4 : 9
• 2 : 3
• 7 : 9
• 4 : 10

Choose the correct answer:
If the circumference of a circle and the perimeter of a square are equal, then

• Area of circle = Area of square
• Area of circle > Area of square
• Area of circle <Area of square 
• Nothing can be said about the relation of areas 

The area of the circle that can be inscribed in a square of side 6 cm is

• 36pi sq.cm

• 18pi sq.cm

• 12pi sq.cm

• 9pi sq.cm

The perimeter of square circumscribing circle of radius 'a' cm is

• 8a cm

• 6a cm

• 10a cm

• 16a cm

The region bounded by two radii and corresponding arc of a circle is

• A) Segment

• B) Sector

• C) Area

• D) Perimeter