Question

3.) A slice of cake has a radius of 12cm. It forms an angle of 35° at the center. Find the area of the slice of cake .​

Answer 1

Solutions

Radius of Cake = 12 cm

Angle at center = 35°

Area of Sector = $\dfrac{{\theta}}{360}\times \pi\: r^{2}$

Area of Sector = $\dfrac{{35}}{360}\times \pi\: (12)^{2}$

Area of Sector = $\dfrac{{35}}{360}\times \pi\: 144$

Area of Sector = $\dfrac{{5040}}{360}\times \pi$

Area of Sector = $14 \pi\: cm^2$

Consider your pi as 3.142 or 22/7

You will get final value

Answer 2

Given :-

A slice of cake has a radius of 12cm. It forms an angle of 35° at the center.

To Find :-

Area

Solution :-

we know that

Area = $\theta$/360 × πr²

Where

∅ = Angle made

r = Radius

Area = 35/360 × 22/7 × (12)²

Area = 35/360 × 22/7 × 144

Area = 7/72 × 22/7 × 144

Area = 22176/504

Area = 44 cm²

Hence

Area of one slice of cake is 44 cm²

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