Question

$\huge\fbox\pink{QUESTION BY SIDDHI♡}$ → The circular wire of diameter 10 cm is cut and placed along the circumference of a circle of diameter 1 meter .The angle subtended by the wire at the centre of a circle is ?​

Answer 1

Answer:

The circular wire of diameter 10 cm is cut and placed along the circumference of a circle of diameter 1 meter. The angle subtended by the wire at the centre of circle is equal to. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. ∴ Required angle =10π50=π5 radians.

Step-by-step explanation:

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Answer 2

$\red{ \underline{ \boxed{ \large \mathsf{Length \: of \: wire = π \times D}}}}$

$\large \longrightarrow \mathsf{ \frac{22}{7} \times 10}$

$\large \longrightarrow \mathsf{31.429 \: cm}$

• This length is equal to the length of the arc of the larger circle diameter = 1 m = 100cm

• Length of arc = β/360 x πD (Where β is the angle subtended at the center)

• → β/360 x 22/7 x 100 = 31.428

•  55/63 β = 31.428

• ☆ β = 31.428 x 63/55 = 36 degrees.

• The angle subtended by the wire at the center = 36 degrees

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