The given combined shape is combination of atriangle and incircle. We will learn how to find the Area of theshaded region of combined figures. Let R and r be the radius of larger circle and smaller circle respectively.
Rectangle C
- The remaining value which we get will be the area of the shaded region.
- They can have a formula for area, but sometimes it is easier to find the shapes we already recognize within them.
- Usually, we would subtractthe area of a smaller inner shape from the area of a larger outer shape in order to find the areaof the shaded region.
- For instance, if a completely shaded square is given then the area of the shaded region is the area of that square.
- Or we can say that, to find the area of the shaded region, you have to subtract the area of the unshaded region from the total area of the entire polygon.
- The semicircle is generally half of the circle, so its area will be half of the complete circle.
Usually, we would subtractthe area of a smaller inner shape from the area of a larger outer shape in order to find the areaof the shaded region. If any of the shapes is a composite shape then we would need to subdivide itinto shapes that we have area formulas, like the examples below. The area of the shaded region is the difference between two geometrical shapes which are combined together. By subtracting the area of the smaller geometrical shape from the area of the larger geometrical shape, we will get the area of the shaded region.
Similarly , the base of the inner right angled triangle is given to be 12 cm and its height is 5 cm. So, the area of the shaded or coloured region in a figure is equal to the difference between the area of the entire figure and the area of the part that is not coloured or not shaded. Calculate the shaded area of the square below if the side length of the hexagon is 6 cm. The side length of the four unshaded small squares is 4 cm each.
When dealing with shaded regions in geometry, finding their area can be a known mathematical problem. Whether it is a square, rectangle, circle, or triangle, you need to know how to find the area of the shaded region. Moreover, these Formulas come in use in different mathematical as well as real-world applications. Read on to learn more about the Area of the Shaded Region of different shapes as well as their examples and solutions. Sometimes, you may be required to calculate the area of shaded regions.
Solved Examples :
The area of the shaded region is in simple words the area of the coloured portion in the given figure. So, the ways to find and the calculations required to find the area of the shaded region depend upon the shaded region in the given figure. These lessons help Grade 7 students learn how to find the area of shaded region involving polygons and circles. Therefore, the Area of the shaded region is equal to 246 cm².
- Make your choice for the area unit and get your outcomes in that particular unit with a couple of taps.
- The area outside the small shape is shaded to indicate the area of interest.
- This question can be answered by learning to calculate the area of a shaded region.
- The grass in a rectangular yard needs to be fertilized, and there is a circular swimming pool at one end of the yard.
- We will learn how to find the Area of theshaded region of combined figures.
We can observe that the outer rectangle has a semicircle inside it. From the figure we can observe that the diameter of the semicircle and breadth of the rectangle are common. Hence, the Area of the shaded region in this instance is 16
