Find the perimeter and the area of the shaded portion, Mathematics

Assignment Help:

The given figure consists of four small semicircles and two big semicircles.  If the smaller semicircles are equal in radii and the bigger semicircles are also equal in radii, find the perimeter and the area of the shaded portion of the figure.  Given that radius of each bigger semicircle is 42cm. (Ans:528cm, 5544 sq cm)

889_circle27.png

Ans:    Perimeter of the shaded region

= 2 [ Perimeter (Bigger semi circle) + Perimeter (smaller semi circle ) + Perimeter (small semi circle )]

= 2 ( 42 Π + 21 Π + 21 Π )

= 84 Π

=2 x 84 x22/7  = 24 x 22 = 528 cm

Area of shaded region

= [ Area(big semi circle )]

= 2 x Π x 42 x 42 x 1/2  =22/7 x 42 x 42 = 5544 cm2


Related Discussions:- Find the perimeter and the area of the shaded portion

Probabillity, In my wallet there is a 10p stamp, a 12p stamp and a 20p stam...

In my wallet there is a 10p stamp, a 12p stamp and a 20p stamp.I remove a stamp,put it back and then remove a stamp again.Draw a sample space diagram to show all the possible resul

Sums and differences of cubes and other odd powers, Sums and Differences of...

Sums and Differences of Cubes (and other odd powers)? You can factor a sum or difference of cubes using the formulas a 3 - b 3 = (a - b )(a 2 + ab + b 2 ) and a 3 + b 3 =

Find the surface-radius of earth, a) The distance d that can be seen fro...

a) The distance d that can be seen from horizon to horizon from an airplane varies directly as the square root of the altitude h of the airplane. If d = 213 km for h = 3950

Determine a trigonometric function, At rest, the human heart beats once eve...

At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's bl

probability , An engineer has 200 resistors that he keeps in one box. Resi...

An engineer has 200 resistors that he keeps in one box. Resistors are colored to help their identification, and in this box there are 30 white resistors, 50 black resistors, 80 red

Evaluate inverse tangents , Evaluate following limits. Solution ...

Evaluate following limits. Solution Here the first two parts are actually just the basic limits including inverse tangents and can easily be found by verifying the fol

Fraction, 2 over 11 + 2 over 33

2 over 11 + 2 over 33

Venn diagram - set theory and calculus, Venn Diagram - Set theory and calcu...

Venn Diagram - Set theory and calculus A easy way of representing sets and relations among sets is by means of the Venn diagram. Venn diagram includes of a rectangle that pres

Trigonometry, If a+b+c = 3a , then cotB/2 cotC/2 is equal to

If a+b+c = 3a , then cotB/2 cotC/2 is equal to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd