Get 2 FREE Instant-Explanations on Filo with code FILOAPP

In a circular table cover of radius 323cm, a design is formed

Question

In a circular table cover of radius $323 c m$ , a design is formed leaving an equilateral triangle $A BC$ in the middle as shown in fig. $12.24$ . Find the area of the design (shaded region).

Views: 759 students

Found 7 tutors discussing this question

Asher Discussed

In a circular table cover of radius

323 c m

, a design is formed leaving an equilateral triangle

A BC

in the middle as shown in fig.

12.24

. Find the area of the design (shaded region).

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

For an equilateral triangle inscribed in circle,

side = radius

= 323 c m = 3.23 m

Area of

Δ A BC = \frac{3}{4} (s i d e)^{2} = 4.5175 s q . m

Area of circle

= π r^{2} = 32.7759 s q . m

∴

Area of design = Area of circle - Area of

Δ A BC

= (32.7759 - 4.5175)

sq. m

= 28.26

sq. m

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	In a circular table cover of radius $323 c m$ , a design is formed leaving an equilateral triangle $A BC$ in the middle as shown in fig. $12.24$ . Find the area of the design (shaded region).
Answer Type	Text solution:1
Upvotes	150