ABCDEF is a regular hexagon with centre O. If the area of triangle OAB is 9 ${cm^2}$, find the area of the hexagon.

Last updated date: 20th Mar 2023

•

Total views: 311.7k

•

Views today: 3.91k

Answer

Verified

311.7k+ views

Hint: Look at the diagram carefully. We know that a regular hexagon is made of 6 equilateral triangles. So we can easily find the area by multiplying the given triangle’s area with 6.

Complete answer:

It is given that area of triangle OAB = 9 ${cm^2}$

As mentioned in the hint, a regular hexagon is made up of 6 equilateral triangles.

Area of hexagon ABCDEF = 6 times area of triangle OAB

Area of hexagon ABCDEF = ${6 \times 9}$

Area of hexagon ABCDEF = 54 ${cm^2}$

So, this is your required answer

NOTE: - If it is not a regular hexagon, then it is not made up of 6 equilateral triangles.

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE