Find the length of the arc of a circle with radius 5 cm, if its central angle is 70^. Option 1: 70/18 cm Option 2: 35/18 cm Option 3: 15/18 cm Option 4: 7/18 cm

Answer: 35/18 cm. Solution: Arc length =()/360x 2 r=70/360x 2 5=(70x 10)/360=(700)/360=(35)/18 cm.

Geometry

Circles

Easy

Find the length of the arc of a circle with radius 5 cm, if its central angle is $70^\circ$ .

$\frac{70}{18}\pi$ cm

$\frac{35}{18}\pi$ cm

$\frac{15}{18}\pi$ cm

$\frac{7}{18}\pi$ cm

✅ Correct Option: 2

Arc length $=\frac{\theta}{360}\times 2\pi r=\frac{70}{360}\times 2\pi\times 5=\frac{70\times 10\pi}{360}=\frac{700\pi}{360}=\frac{35\pi}{18}$ cm.

2023: 28 May Shift 1

AB is a diameter of a circle with centre (3, 4). If coordinates of A is the point (4, 9), then find the coordinates of B.

2025: 22 May Shift 1

When a particular wire is bent into the shape of a square, then the area of the square turns out to be $81cm^2$ . When the same wire is bent into a circle, then the radius of the circle (correct to two decimal places) is

2025: 29 May Shift 1

Find the value of x in the adjoining figure, if it is given that PR and QS are diameters of the circle.

2026: 14 May Shift 2

If point P(4, 2) lies on the circle having centre O(-1, 1), and C is the circumference of the circle, then value of $49C^2$ , is:

2022: 20 Aug Shift 1

Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m $\times$ 9 m.

2025: 2 June Shift 2

If two tangents inclined at an angle 60° are drawn to a circle of radius 5 cm, then what is the length of each tangent?

Find the length of the arc of a circle with radius 5 cm, if its central angle is 70∘70^\circ70∘.

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

Find the length of the arc of a circle with radius 5 cm, if its central angle is $70^\circ$ .