A circle of radius 17m measured 8m from the centre of the circle to the chord. Calculate the length of the chord?

Mathematics
A circle of radius 17m measured 8m from the centre of the circle to the chord. Calculate the length of the chord?

ScanSolve AI Answer

Answer

3.4 cm

Step 1: The arc length ss of a circle is given by
s=rθs = r \theta
where rr is the radius in cm and θ\theta is the central angle in radians.

Step 2: Given s=17s = 17 cm and θ=5\theta = 5 radians, solve for rr:
r=sθr = \frac{s}{\theta}

Step 3: Substitute the values:
r=17cm5r = \frac{17 cm}{5}

Step 4: Simplify:
r=175cm=3.4cmr = \frac{17}{5} cm = 3.4 cm

3.4 cm

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Quick Answer

The arc length s of a circle is given by s = r where r is the radius in cm and is the central angle in radians.

A circle of radius 17m measured 8m from the centre of the circle to the chord. Calculate the length of the chord?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: The arc length s of a circle is given by s = r where r is the radius in cm and is the central angle in radians. Step 2: Given s = 17 cm and = 5 radians, solve for r : r = (s)/() Step 3: Substitute the values: r = 17 cm5 Step 4: Simplify: r = (17)/(5) cm = 3.4 cm 3.4 cm