Question

T
15. If O=
π©/4 and |=44 cm, then find the value of r
​

Answer 1

Step-by-step explanation:

Given :

θ = π /4 = 180 / 4 = 45°

Length of arc = 44 cm

To Find :

Radius of the circle

Solution :

\begin{gathered} \large \boxed{ \tt \green{l = 2\pi r \times \frac{ \theta}{360}} } \\ \\ \tt \implies 44= 2 \times \frac{22}{7} \times r \times \frac{45}{360} \\ \\\tt \implies44 = \frac{44}{7} \times r \times \frac{1}{8} \\ \\ \tt \implies r = \cancel{44} \times \frac{7}{ \cancel{44}} \times 8 \\ \\ \tt \implies r = 7 \times 8 \\ \\ \large \implies \boxed{ \tt r = 56 \: cm}\end{gathered}

l=2πr×

360

θ

⟹44=2×

7

22

×r×

360

45

⟹44=

7

44

×r×

8

1

⟹r=

44

×

44

7

×8

⟹r=7×8

⟹

r=56cm

\large \underline{ \bf \blue{ Radius \: of \: circle \: is \: 56 \: cm}}

Radiusofcircleis56cm