Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

in a circular table cover of radius 32 cm , a design is formed leaving an equilateral triangle ABC in the middle as shown in Fig. 12.24 . Find the area of the design.
Asked by azamk4198 | 14 Jan, 2016, 08:59: AM
answered-by-expert Expert Answer
Draw space OL space perpendicular BC. In increment OLC angle OLC equals 1 half angle ACB equals 30 degree therefore angle LOC equals 60 degree sin 60 degree equals LC over OC LC equals fraction numerator square root of 3 over denominator 2 end fraction cross times 32 equals 16 square root of 3 cm BC equals 2 cross times LC equals 32 square root of 3 cm Area space of space the space design space equals space Area space of space the space circle space minus space Area space of space the space increment ABC. equals πr squared minus fraction numerator square root of 3 over denominator 4 end fraction straight a squared space space space space space left square bracket straight a space is space the space length space of space the space side right square bracket equals 3.14 cross times 32 cross times 32 minus fraction numerator square root of 3 over denominator 4 end fraction cross times 32 square root of 3 cross times 32 square root of 3 equals 1024 open square brackets 3.14 minus fraction numerator 9 square root of 3 over denominator 4 end fraction close square brackets equals 256 open square brackets 12.96 minus 9 square root of 3 close square brackets Area space of space the space design space is space 256 open square brackets 12.96 minus 9 square root of 3 close square brackets space cm squared
Answered by Vijaykumar Wani | 14 Jan, 2016, 12:05: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
Please solve this question ?
question image
Asked by Vidushi412 | 11 Aug, 2020, 10:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
How to prove that opposite sides of a quadrilateral circumscribing a circle  subtend supplementary angles at the centre of the circle 
Asked by ssai6651 | 08 Jan, 2020, 07:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Find area of shaded region
question image
Asked by tejutanu2004 | 16 Sep, 2019, 08:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
 Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm 7 cm. Find the area of the remaining card board. Use pie=22/7
Asked by shailesh.solanki | 18 Mar, 2018, 07:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
In the figure, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region.
Asked by Topperlearning User | 27 Jul, 2017, 02:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The inside perimeter of a running track shown in the figure is 400 m. The length of each of the straight portions is 90 m, and the ends are semi-circles. If the track is 14 m wide every where, find the area of the track. Also, find the length of the outer boundary of the track.
Asked by Topperlearning User | 27 Jul, 2017, 02:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Four equal circles are described about four corners of a square so that each touches two of the others, as shown in the figure. Find the area of the shaded region, if each side of the square measures 14 cm.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
In triangle ABC, angle A = 90o, AB = 12 cm and BC = 20 cm. Three semi-circles are drawn with AB, AC and BC as diameters. Find the area of the shaded portion.
Asked by Topperlearning User | 27 Jul, 2017, 02:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
In the figure, ABC is an equilateral triangle of side 12 cm. The circle is centered at A with radius 6 cm. Find the area of the shaded region.
Asked by Topperlearning User | 27 Jul, 2017, 02:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Find the area of the region ABCDEFA shown in the figure, given that ABDE is a square of side 10 cm, BCD is a semi- circle with BD as diameter, EF = 8 cm, AF = 6 cm and angle AFE = 90o.
Asked by Topperlearning User | 27 Jul, 2017, 02:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×