Question

If theta =pi radian(c)/4 and length=44 cm then find the value of r

Answer 1

GIVEN :-

• Value of ∅ = π/4.
• Length of Arc of circle = 44 cm.

TO FIND :-

• The radius of the circle ( r ).

SOLUTION :-

As we know that the length of the arc of the circle is given by,

$\boxed{ \implies \: \sf \: length \: = 2\pi r \: x \: \dfrac{ \theta}{360 ^{ \circ} } }$

Substitute all the given values,

$\implies \: \sf44 = 2 \times \dfrac{22}{7} \times r \times \dfrac{ \bigg( \dfrac{\pi}{4} \bigg) }{360}$

As we know that ,π = 180° .

$\implies \: \sf44 = \dfrac{44}{7} \times r \times \dfrac{ \bigg( \dfrac{180}{4} \bigg) }{360}$

$\implies \: \sf \dfrac{44 \times 7}{44} = r \times \bigg( \dfrac{45}{360} \bigg)$

$\implies \: \sf7 = r \times \dfrac{1}{8}$

$\bf{ \underline{ \boxed{\implies \: \sf \: r \: = 56 \: cm.}}}$

Answer 2

Step-by-step explanation:

given :

• r value = π/4

• circle length = 44

to find :

• value of radius = ?

• value of radius = ?

formula :

l = 2π r × 0/360

solution :

• length = 2× 22/7 × radius × ( π/4 ) / 360

• length = 44/7 × radius × (180/4)/360

• length = 44× 7/ 44 = radius× (45/360)

• length = radius × 1/8

• value of radius = 56