Question

A car has two wipers do not overlap. Each wiper has a blade of length 20cm. sweeping through

an angle of 135°. Find the total area cleaned in each sweep of the blades.​

Answer 1

hence,

area cleaned by both wiper =

Answer 2

✪ $\huge{\red{\underline{\overline{\mathbf{Question}}}}}$ ✪

→A car has two wipers do not overlap. Each wiper has a blade of length 20cm. sweeping through

an angle of 135°. Find the total area cleaned in each sweep of the blades.

✪ $\huge{\green{\underline{\overline{\mathbf{Answer}}}}}$ ✪

⇒Given:

• r = 20 cm
• Angle = 135°
• No. of blades = 2

⇒To Find:

• Area cleaned in each sweep

⇒Using Formula of area of Sector

⇒$3.14\times 20\times 2{\cancel{0}}\times \frac{135^{\circ}}{36{\cancel{0}}^{\circ}}$

⇒$3.14\times 40\times \frac{135}{36}$

⇒$\frac{16956}{36}$

⇒$\huge{\red{471\:cm^{\small{2}}}}$

Total Area swept by 2 Blades:-

⇒$\Large{2\times 471}$

⇒$\huge{\pink{\overbrace{\underbrace{941\:cm^{\small{2}}}}}}$

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Formulas Used :-

Area of Sector is -

• $\Large{\fbox{\blue{\pi r^2 \frac{\theta}{360^{\circ}}}}}$

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