Math, asked by camrynnjwaite01, 1 year ago

A circle has a sector with area 24/5π and central angle of 48∘ What is the area of the circle?

Answers

Answered by Anonymous
7
Hey there !!


➡ Given :-

→ Area of sector =   \frac{24\pi}{5}   \\ sq unit .

 \theta = 48° .


▶ To find :-

→ Area of the circle .


▶ Solution :-

We know that :-

area \: of \: sector =  \frac{ \theta}{360} \pi {r}^{2} . \\  \\  =  >  \frac{24 \cancel\pi}{5}  =  \frac{48}{360}  \cancel\pi {r}^{2} . \\  \\  =  >  {r}^{2}  =  \frac{24 \times 360}{5 \times 48} . \\  \\  =  >  {r}^{2}  = 36. \\  \\  =  > r =  \sqrt{36} . \\  \\  \therefore r  = 6 \: unit.


▶ Now,

area \: \: of \: circle = \pi {r}^{2} . \\  =  \frac{22}{7}  \times 6 \times 6. \\  \\  =  \frac{792}{7} . \\  \\   \boxed{ \orange{ = 113.14 \: sq \: unit .}} \\  \\ or \: in \: terms \: of \: \pi \\  \\  \boxed{ \orange{ = 36\pi \: sq \: unit.}}


✔✔ Hence, it is solved ✅✅



THANKS



#BeBrainly.
Answered by maroofahmad88
2
Heyyyy mate..

Here is your answer...

given, area of sector= 24/5π


and central angle= 48°

now according to question

area of sector= theeta/360°×πr^²

24/5π=48°/360°×π×r^²

r^²=24×360/5×48

r^²=36

r= √36=6

r= 6 units

now area of circle= πr^²

22/7×6×6=113.14 sq units


and in π value= 36π

hope it help you





maroofahmad88: samjhi
ASweety1431: ok fine!
ASweety1431: Good bye
ASweety1431: Sorry for disturbance
maroofahmad88: it's ok
ASweety1431: Hmm
maroofahmad88: mera Dp mat use kar
maroofahmad88: delete Kar use
ASweety1431: Tujhe koi problem ho rhi?
Anonymous: No more unnecessary comments .
Similar questions