ITEM 3 Your father has a triangular piece of land that measures 8 cm long, and one of the sides is 6 cm . The angle between two sides is \( 30^{\circ} \). Your father wants to construct a circular fence around histriangular piece of land but does not know how to do it. Task As a student of S .1 , help your father to construct a circle through the vertices of the triangularpiece of land. ii. Work out the area of the circle (taking \( \pi=\frac{22}{7} \) ) iii. If your father gives you his bank A.T.M to withdraw for him the money to buy the construction materials and He gives the pin as 179 in decimal base, what do you think will bethe four-digit pin number in base five will you use to withdraw the money?

Find the area of a vector of radius 10.5 cm pubtended by an angle of \( 1 / 3 \pi^{\mathrm{C}} \) at the centre ( 3 marks)

1. A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside ar it. Find the area of the path. A path 5 m wide runs along inside a square park of side 100 m . Find the area path. A painting is painted on a cardboard 8 cm long and 5 cm wide such that the margin of 1.5 cm along each of its sides. Find the total area of the margin. The side of a square flower bed is 1 m 80 cm . It is enlarged by digging a strit wide all around it. Find: (i) the area of the enlarged flower bed

A fish tank length, breadth and height is \( 40 \mathrm{~cm}, 60 \mathrm{~cm} \) and 50 cm respectively. It contains 50 liter of water, How much water is needed to fill it completely.

Find the volume of the pyramid with base in the plane \( z=-5 \) and sides formed by the three planes \( y=0 \), and \( y-x=1 \) and \( x+y+z=0 \). NotE: Enter the eroct answer.

Problema di geometria piana (sul foglio protocollo) - Un'aiuola ha una forma triangolare con un angolo retto. Per fare la recinzione lungo il perimetro dell'aiuola sono state misurate le lunghezze dei due cateti, che valgono rispettivamente 234 cm e \( 4,62 \mathrm{~m} \). (Scrivi bene formule, calcoli con tutte le unità di misura). a) Scrivi i dati, le incognite e rappresenta la situazione con un disegno. b) Determina la lunghezza di tutto il Perimetro (in metri) per poter comprare la recinzione di dimensioni corrette.