Question

On a circular wooden table of radius 70 cm a design is formed leaving the space of an equilateral
triangle ABC in the middle as shown in the figure. Find the total area to be designed.
ಆನೆ ಸರ್ಕ್ಯುಲರ್ ವುಡನ್ ಟೇಬಲ್ ಆಫ್ ರೇಡಿಯಸ್ ಸೆವೆಂಟಿ ಸೆಂಟಿಮೀಟರ್ ​

Answer 1

Answer:

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Answer 2

area of the design is 9034.7 cm²

Step-by-step explanation:

let ABC be an equilateral triangle and let O be the circumcenter of the circumcircle of radius 70 cm

then area of the circle = $\pi r ^2$

$\frac{22}{7}\times 70 \times 70$

= 15,400 cm ²

area of triangle ABC = 3× area of triangle BOC

$3\times \frac{1}{2}\times OB \times OC \times \sin BOC \\\\ \frac{3}{2}\times70\times70\times \sin 120 \\\\\frac{3}{2}\times70\times70\times \frac{\sqrt{3}}{2}\\\\3675\sqrt{3}cm ^2$

area of design = area of circle - area of triangle ABC

area of design

$15400 - 3675\sqrt{3}cm ^2\\\\=15400-6365.29\\\\=9034.7 cm^2$

hence , area of the design is 9034.7 cm²

#Learn more:

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere . if the radius of the hemispher is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.

https://brainly.in/question/15711886