Math, asked by iamsarthakbhati, 10 months ago

in the figure Arc SBT is one quarter of a circle with Centre R and radius 6 CM if the length + the width of ABCR the perimeter of the shaded region is
a. 8+10 pie
b. 10+3 pie
c. 14+3 pie
d. 1+6 pie
e. 12+6 pie​

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Answers

Answered by omsamarth4315
2

Answer:

option b maybe correct.......

10 + 3 pie.....

for more information, refer to the attachment.

Step-by-step explanation:

hope it helps ✔✔

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Answered by BrainlyPopularman
12

CORRECT QUESTION :

In the figure above, arc SBT is one quarter of a circle with center R and radius 6. If the length plus the width of rectangle ABCR is 8, then the perimeter of the shaded region is

ANSWER :

LET AR = a and RC = b

We know that

perimeter of quarter circle = ( 2πr ) / 4 = 3π

AND

AS = 6 - a , CT = 6 - b , AC = RB = 6 ( radius )

perimeter of the shaded region = AS+AC+CT+C(SBT)

Perimeter = ( 6 - a ) + 6 + ( 6 - b ) + 3π

Perimeter = 18 - ( a + b ) + 3π

length + width = 8 ( given )

Perimeter = 18 - 8 + 3π

Perimeter = 10 + 3π

Hence , option ( b ) is correct .

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