Question

a piece of wire in the form of a rectangle of 8.9 cm long and 54 mm broad is reshaped and bent in the form of a circle. find the radius of the circle in mm​

Answer 1

✰Question:-

• A piece of wire in the form of a rectangle of 8.9 cm long and 54 mm broad is reshaped and bent in the form of a circle. find the radius of the circle in mm.

$\large{ \underbrace{ \underline {\bf \: {Understanding \: the \: question : - }}}}$

A wire is formed in rectangle then the same wire us used to form a circle . Which means the perimeter and circumference of circle will ne same.

❈Given:-

• Length of rectangle = 8.9 cm
• Breadth of rectangle = 54mm

✯To find:-

• Radius of the circle in mm.

⋆Solution:-

• Perimeter of rectangle = 2( length +breadth)

➥ 2×(89 +54)cm

________________[ °.° 8.9 cm=8.9×10mm=8.9m]

➥2× 143 mm

➥286 mm

• Circumference of circle =2πr= 286 mm

$➥2 \times \frac{22}{7} \times r = 286$

$➥r = \frac{286 \times 7}{2 \times 22} = 45.5 \: mm$

Hence the radius of circle is 45.5 mm .

Step-by-step explanation:

Learn more:-

• Perimeter of rectangle = 2(length +breadth)
• Perimeter of triangle =sum of all sides
• Perimeter of square =4×side
• Circumference of circle =2πr

Answer 2

Step-by-step explanation:

✰Question:-

A piece of wire in the form of a rectangle of 8.9 cm long and 54 mm broad is reshaped and bent in the form of a circle. find the radius of the circle in mm.

$\large{ \underbrace{ \underline {\bf \: {Understanding \: the \: question : - }}}}$

A wire is formed in rectangle then the same wire us used to form a circle . Which means the perimeter and circumference of circle will ne same.

❈Given:-

Length of rectangle = 8.9 cm

Breadth of rectangle = 54mm

✯To find:-

Radius of the circle in mm.

⋆Solution:-

Perimeter of rectangle = 2( length +breadth)

➥ 2×(89 +54)cm

________________[ °.° 8.9 cm=8.9×10mm=8.9m]

➥2× 143 mm

➥286 mm

Circumference of circle =2πr= 286 mm

$➥2 \times \frac{22}{7} \times r = 286$

$➥r = \frac{286 \times 7}{2 \times 22} = 45.5 \: mm$

Hence the radius of circle is 45.5 mm .

Step-by-step explanation:

Learn more:-

Perimeter of rectangle = 2(length +breadth)

Perimeter of triangle =sum of all sides

Perimeter of square =4×side

Circumference of circle =2πr