❛ Find the areas of the shaded region in the given figure..❜✘ no spam ✘...

Questions

yakshitakhatri2 @yakshitakhatri2

July 2021 1 55 Report

❛ Find the areas of the shaded region in the given figure..❜

✘ no spam ✘

Answers & Comments

$\large\underline{\bold{Solution :- }}$

It is given that

Radius of big semi-circle, R = 14 cm.

So,

Area of big semi-circle is given by

$\rm :\longmapsto\:A_1 = \: \dfrac{1}{2} \: \pi \: {R}^{2}$

$\rm :\longmapsto\:A_1 = \dfrac{1}{2} \times \dfrac{22}{7} \times {14}^{2}$

$\rm :\longmapsto\: \boxed{ \bf \: A_1 \: = \: 308 \: {cm}^{2} }$

Now,

Radius of small semi-circle, r = 7 cm

So,

Area of 2 small semi-circle are given by

$\rm :\longmapsto\:A_2 = \:2 \times \: \dfrac{1}{2} \: \pi \: {r}^{2}$

$\rm :\longmapsto\:A_2 = \: \pi \: {r}^{2}$

$\rm :\longmapsto\:A_2 = \: \dfrac{22}{7} \times {7}^{2}$

$\rm :\implies\: \boxed{ \bf \: A_2 \: = \: 154 \: {cm}^{2} }$

Hence,

Total area of shaded region is given by

$\rm :\longmapsto\:\tt \: Area_{(shaded \: region)} = A_1 + A_2$

$\rm :\longmapsto\:\tt \: Area_{(shaded \: region)} = 308 + 154$

$\rm :\longmapsto\: \boxed{\tt \: Area_{(shaded \: region)} = 462 \: {cm}^{2}}$

Additional Information :-

$\rm :\longmapsto\:\tt \: Area_{(circle)} = \pi \: {r}^{2}$

$\rm :\longmapsto\:\tt \: Area_{(sector)} = \dfrac{\pi \: {r}^{2} \theta}{360}$

$\rm :\longmapsto\:\tt \: Area_{(sector)} = \dfrac{1}{2} lr$

$\rm :\longmapsto\:\tt \: Area_{(major \: sector)} = \dfrac{\pi \: {r}^{2} (360 - \theta)}{360}$

$\rm :\longmapsto\:\tt \: Area_{(minor \: segment)} = \dfrac{ {r}^{2} }{2} \bigg(\dfrac{\pi \:\theta}{180} - sin\theta \bigg)$

$\rm :\longmapsto\:\tt \: Area_{(equilateral \: \triangle)} = \dfrac{ \sqrt{3} }{4} {(side)}^{2}$

Add an Answer

More Questions From This User See All

yakshitakhatri2 September 2021 | 0 Replies

find the areas of the shaded region in the given figure no spam otherwise

yakshitakhatri2 August 2021 | 0 Replies

solve the given linear equation by elimination method

yakshitakhatri2 August 2021 | 0 Replies

Find the missing frequencies f1 and f2 if the mean of 50 observations given abov...

yakshitakhatri2 August 2021 | 0 Replies

What percentage of our cropped area is covered by oilseeds?A. 21%B. 12%C. 2%D. 4...

yakshitakhatri2 August 2021 | 0 Replies

how can death be considered an equaliseranswer in 20 30 words

yakshitakhatri2 June 2021 | 0 Replies

are yrr koi to brainliest bana do

yakshitakhatri2 June 2021 | 0 Replies

how u put this much space in bio well define photosynthesisno spam

yakshitakhatri2 May 2021 | 0 Replies

Which of the following option is must to create automated TOC:a) Styleb) Hierarc...

yakshitakhatri2 May 2021 | 0 Replies

ctrl h is a shortcut key for irrelevant answers will be reported

yakshitakhatri2 May 2021 | 0 Replies

the what if scenarios feature allows to create different cases of input pre

Recommend Questions

cghost043 November 2022 | 0 Replies

x+3,solve for the value of x?...

Sheila3701186777 November 2022 | 0 Replies

Wordle is a grid of five squares across and six squares down. Each horizontal ro...

Pat8040270941 November 2022 | 0 Replies

Wordle is a grid of five squares across and six squares down. Each horizontal ro...

ceasardelossantos30 November 2022 | 0 Replies

ano po mangyayari nag bigyan po ako ng pre points

raymondaquino908 November 2022 | 0 Replies

DIRECTION: Complete the missing term in column A from column BA. B.6. 7, 9, 12, ...

shonealrivera88 November 2022 | 0 Replies

patulong po dito sa mathe0c6efff33c9463bb1e957285558f726 25734

talisicjoy3483 November 2022 | 0 Replies

1. From the information given in the figure, how is AC related to BD? A 15 2. Fi...

imomama14 November 2022 | 0 Replies

can someone pls explain how to solve this

Curtis0140317537 November 2022 | 0 Replies

Wordle is a grid of five squares across and six squares down. Each horizontal ro...

alcheontunting November 2022 | 0 Replies

1 lbgc amp lcgd what kind of angel is it

Helpful Links

Terms and Conditions

Helpful Social

Copyright © 2024 EHUB.TIPS team's - All rights reserved.