Question

find the radius of the circle whose circumference is 110 dm​

Answer 1

Answer:

17.51 cm

Step-by-step explanation:

circumference of circle = 110 cm

Let the radius be x. Then,

C = 2πr

110 = 2 * 3.14 * x

110 = 6.28x

x = 110/6.28

x = 110/ (628/100)

x = 110 * 100/628

x = 17.51

So, radius = 17.51 cm

hope it helps you

Answer 2

Solution:-

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❖ Here, the question has given us the circumference that is 110 cm respectively. Now, the question has asked us to find the radius of the circle. So, to find the ridus of the circle we simple need to apply the formula of circumference.

ANSWER:-

» Radius of the circle is

GIVEN:-

⇒ Circumference of the circle = 110 cm

TO FIND:-

➡ Radius of the circle = ?

FORMULA:-

⟹ Circumference = 2πr

WHERE,

• C = Circumference
• π = 22/7
• R = Radius

SOLVING BY APPLYING THE FORMULA:-

➱ C = 110 cm

➱ C = 2πr

➯ 110 = 2 × 22/7 × r

➯ Taking LCM

➯ LCM = 7

➯ 110 = 44/7 × r

➯ 110 × 7 = 44 × r

➯ 770 = 44 × r

➯ 770/44 = r

➯ 17.5 = r

➯ R = 17.5 cm

Hence, we got the answer. The radius of the circle is 17.5 cm.

TO CHECK:-

↬ Circumference = 2πr

↬ R = 17.5 cm

⇨ C = 2 × 22 / 7 × 17.5 cm

⇨ C = 44 / 7 × 17.5 cm

⇨ C = 44 ×17.5 / 7

⇨ C = 770 cm / 7

⇨ C = 770 cm / 7 = 110 cm

⇨ C = 110 cm

Hence, proved ✓.

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