1. Find the circumference and the area enclosed by the following circles to one decimal place.
(i) r = 56 cm (ii) r = 34
3. Cathal owns three circular fi elds which are pictured below. The radius of the smallest fi eld is 55 m, the middle fi eld has a radius of 144 m and the largest fi eld has a diameter of 720 m.
r (iii) r = 500 m d (v) r = 120 mm r = 51.7 m (iv) r
2. Find the area of the shaded regions below: (i)
(i) Cathal wants to put fences around each of the three fi elds. What would the total length of all the fencing be?
(ii) If posts are placed every 4 metres in each fence, what is the minimum number of posts Cathal should order to construct the three fences?
(ii)
86 cm 76 cm
14 cm 14 cm 14 cm (iii)
(iii) If the fencing costs €9 per 10 metres to construct, what will it cost Cathal to construct the fence?
(iv) Cathal wishes to spread fertiliser all over the three fi elds. What is the surface area he will have to cover with the fertiliser?
(v) Fertiliser is bought in bags which cover 200 m 2
to spread fertiliser over all three fi elds?
(vi) If the fertiliser costs €27·50 per bag, how much money will Cathal require to purchase the fertiliser for all three fi elds?
(vii) If 1 hectare is equal to 10 000 m 2 16 cm , how much land does Cathal have in hectares? . How many bags should Cathal buy