Singapore Primary School Mathematics - Geometry Part 2

by Education Cube, posted on May 30, 2016

Math Topic – Geometry

Primary 6 Level Question: The figure below shows a circle and 2 squares. Find the area of the shaded parts given that the length of the bigger square is 20 cm. ( Take π = 3.14)

Geometry Question

Can you solve this problem? Scroll down.

 

 

 

 

 

 

 

 

 

 

 

 

 

When you rotate the inner square, the corners will meet the sides of the outer square.

Geometry Question visual aid 1.

Geometry Question visual aid 2.

 Replacing the outer square with the same color - you'll notice that the area of the inner square is actually half the area of the outer square.

Geometry Question visual aid 3.

 Another visual example:

Geometry Question visual aid 4.

Solution:

Area of outer circle is 3.14 X 10 X 10  = 314 centimetres square.

Area of inner square is 1/2( 20 X 20 ) = 200 centimetres square.

Therefore area of shaded area is 314 - 200 = 114 centimetres square.

 

 

LIke this article? You may also like these:

Singapore Primary School Mathematics - Geometry Part 1 (What you need to know)
Singapore Primary School Mathematics - Geometry Part 3 (Properties of triangles in a square)
Top 10 Math resources (Free!) for Primary School Teachers, Parents and Students in Singapore
PSLE results survey report

ABOUT EDUCATION CUBE
Whether you are a parent researching the next step in your child’s learning journey, a student looking to find a swimming coach or math tutor, or an adult looking to upgrade your academic qualifications and professional skills, you can find thousands of schools, learning centres, and other related information about them
here.

BACK TO NEWS LISTINGS